Search a number
-
+
202112222200320 = 293554148644539
BaseRepresentation
bin101101111101000111101011…
…001101011000001000000000
3222111121201222021100100200010
4231331013223031120020000
5202442401312340402240
61553505023441424520
760400061164634265
oct5575075315301000
9874551867310603
10202112222200320
1159443348417233
121a80285233b140
1388a1140525583
1437ca3d887326c
1518576092b9280
hexb7d1eb358200

202112222200320 has 160 divisors (see below), whose sum is σ = 647321844375360. Its totient is φ = 53796967464960.

The previous prime is 202112222200243. The next prime is 202112222200327. The reversal of 202112222200320 is 23002222211202.

202112222200320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (202112222200327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20167390 + ... + 28477149.

It is an arithmetic number, because the mean of its divisors is an integer number (4045761527346).

Almost surely, 2202112222200320 is an apocalyptic number.

202112222200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112222200320 is an abundant number, since it is smaller than the sum of its proper divisors (445209622175040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202112222200320 is an equidigital number, since it uses as much as digits as its factorization.

202112222200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48645106 (or 48645090 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 202112222200320 its reverse (23002222211202), we get a palindrome (225114444411522).

The spelling of 202112222200320 in words is "two hundred two trillion, one hundred twelve billion, two hundred twenty-two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 541 640 768 960 1082 1280 1536 1623 1920 2164 2560 2705 3246 3840 4328 5410 6492 7680 8115 8656 10820 12984 16230 17312 21640 25968 32460 34624 43280 51936 64920 69248 86560 103872 129840 138496 173120 207744 259680 276992 346240 415488 519360 692480 830976 1038720 1384960 2077440 4154880 48644539 97289078 145933617 194578156 243222695 291867234 389156312 486445390 583734468 729668085 778312624 972890780 1167468936 1459336170 1556625248 1945781560 2334937872 2918672340 3113250496 3891563120 4669875744 5837344680 6226500992 7783126240 9339751488 11674689360 12453001984 15566252480 18679502976 23349378720 24906003968 26316695599 31132504960 37359005952 46698757440 52633391198 62265009920 74718011904 78950086797 93397514880 105266782396 124530019840 131583477995 157900173594 186795029760 210533564792 263166955990 315800347188 373590059520 394750433985 421067129584 526333911980 631600694376 789500867970 842134259168 1052667823960 1263201388752 1579001735940 1684268518336 2105335647920 2526402777504 3158003471880 3368537036672 4210671295840 5052805555008 6316006943760 6737074073344 8421342591680 10105611110016 12632013887520 13474148146688 16842685183360 20211222220032 25264027775040 33685370366720 40422444440064 50528055550080 67370740733440 101056111100160 202112222200320