Search a number
-
+
2223202223320 = 2351326973321683
BaseRepresentation
bin100000010110100001001…
…011011100010011011000
321212112110210012121021221
4200112201023130103120
5242411104232121240
64421154111141424
7316423011046021
oct40264113342330
97775423177257
102223202223320
11787944772861
122baa55b14874
131318547c7970
147986425dc48
153cc6d3a9a4a
hex205a12dc4d8

2223202223320 has 128 divisors (see below), whose sum is σ = 5414642251200. Its totient is φ = 816669702144.

The previous prime is 2223202223317. The next prime is 2223202223339. The reversal of 2223202223320 is 233222023222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102521199 + ... + 102542881.

Almost surely, 22223202223320 is an apocalyptic number.

2223202223320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223202223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707321125600).

2223202223320 is an abundant number, since it is smaller than the sum of its proper divisors (3191440027880).

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

2223202223320 is a wasteful number, since it uses less digits than its factorization.

2223202223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22709 (or 22705 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2223202223320 its reverse (233222023222), we get a palindrome (2456424246542).

The spelling of 2223202223320 in words is "two trillion, two hundred twenty-three billion, two hundred two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 269 520 538 733 1076 1345 1466 2152 2690 2932 3497 3665 5380 5864 6994 7330 9529 10760 13988 14660 17485 19058 21683 27976 29320 34970 38116 43366 47645 69940 76232 86732 95290 108415 139880 173464 190580 197177 216830 281879 381160 394354 433660 563758 788708 867320 985885 1127516 1409395 1577416 1971770 2255032 2563301 2818790 3943540 5126602 5637580 5832727 7887080 10253204 11275160 11665454 12816505 15893639 20506408 23330908 25633010 29163635 31787278 46661816 51266020 58327270 63574556 75825451 79468195 102532040 116654540 127149112 151650902 158936390 206617307 233309080 303301804 317872780 379127255 413234614 606603608 635745560 758254510 826469228 1033086535 1516509020 1652938456 2066173070 3033018040 4132346140 4275388891 8264692280 8550777782 17101555564 21376944455 34203111128 42753888910 55580055583 85507777820 111160111166 171015555640 222320222332 277900277915 444640444664 555800555830 1111601111660 2223202223320