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22202222020040 = 23529131331944021
BaseRepresentation
bin1010000110001010110111…
…00011101000010111001000
32220121111211000201100120202
411003011123203220113020
510402230122314120130
6115115320542511332
74451025521234336
oct503053343502710
986544730640522
1022202222020040
11708aa00579617
1225a6b33295548
13c5087830861a
1456a843d5cb56
152877e6404145
hex14315b8e85c8

22202222020040 has 128 divisors (see below), whose sum is σ = 52088943456000. Its totient is φ = 8506438886400.

The previous prime is 22202222020039. The next prime is 22202222020057. The reversal of 22202222020040 is 4002022220222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22202222019994 and 22202222020021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504333230 + ... + 504377250.

It is an arithmetic number, because the mean of its divisors is an integer number (406944870750).

Almost surely, 222202222020040 is an apocalyptic number.

22202222020040 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 22202222020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26044471728000).

22202222020040 is an abundant number, since it is smaller than the sum of its proper divisors (29886721435960).

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

22202222020040 is a wasteful number, since it uses less digits than its factorization.

22202222020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47511 (or 47507 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22202222020040 its reverse (4002022220222), we get a palindrome (26204244240262).

The spelling of 22202222020040 in words is "twenty-two trillion, two hundred two billion, two hundred twenty-two million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 131 145 232 262 290 524 580 655 1048 1160 1310 2620 3319 3799 5240 6638 7598 13276 15196 16595 18995 26552 30392 33190 37990 44021 66380 75980 88042 96251 132760 151960 176084 192502 220105 352168 385004 434789 440210 481255 770008 869578 880420 962510 1276609 1739156 1760840 1925020 2173945 2553218 3478312 3850040 4347890 5106436 5766751 6383045 8695780 10212872 11533502 12608881 12766090 17391560 23067004 25217762 25532180 28833755 46134008 50435524 51064360 57667510 63044405 100871048 115335020 126088810 146105699 167235779 230670040 252177620 292211398 334471558 504355240 584422796 668943116 730528495 836178895 1168845592 1337886232 1461056990 1672357790 2922113980 3344715580 4237065271 5844227960 6689431160 8474130542 16948261084 19139846569 21185326355 33896522168 38279693138 42370652710 76559386276 84741305420 95699232845 153118772552 169482610840 191398465690 382796931380 555055550501 765593862760 1110111101002 2220222202004 2775277752505 4440444404008 5550555505010 11101111010020 22202222020040