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22230103232232 = 23327256911073901
BaseRepresentation
bin1010000110111110110010…
…11010000000111011101000
32220201011210010010200111100
411003133121122000323220
510403204222411412412
6115140211330001400
74453033452516300
oct503373132007350
986634703120440
1022230103232232
1170a0808811a45
1225b0414716260
13c5339c73510c
1456bd2ac2a600
152883c9003edc
hex1437d9680ee8

22230103232232 has 144 divisors (see below), whose sum is σ = 70159259816100. Its totient is φ = 6340295001600.

The previous prime is 22230103232221. The next prime is 22230103232341. The reversal of 22230103232232 is 23223230103222.

22230103232232 is a `hidden beast` number, since 2 + 2 + 2 + 301 + 0 + 3 + 2 + 322 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20772756905796 + 1457346326436 = 4557714^2 + 1207206^2 .

It is a super-2 number, since 2×222301032322322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22230103232196 and 22230103232205.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3529519 + ... + 7544382.

Almost surely, 222230103232232 is an apocalyptic number.

It is an amenable number.

22230103232232 is an abundant number, since it is smaller than the sum of its proper divisors (47929156583868).

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

22230103232232 is a wasteful number, since it uses less digits than its factorization.

22230103232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074496 (or 11074482 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22230103232232 its reverse (23223230103222), we get a palindrome (45453333335454).

The spelling of 22230103232232 in words is "twenty-two trillion, two hundred thirty billion, one hundred three million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 569 588 882 1138 1176 1707 1764 2276 3414 3528 3983 4552 5121 6828 7966 10242 11949 13656 15932 20484 23898 27881 31864 35847 40968 47796 55762 71694 83643 95592 111524 143388 167286 223048 250929 286776 334572 501858 669144 1003716 2007432 11073901 22147802 33221703 44295604 66443406 77517307 88591208 99665109 132886812 155034614 199330218 232551921 265773624 310069228 398660436 465103842 542621149 620138456 697655763 797320872 930207684 1085242298 1395311526 1627863447 1860415368 2170484596 2790623052 3255726894 4340969192 4883590341 5581246104 6301049669 6511453788 9767180682 12602099338 13022907576 18903149007 19534361364 25204198676 37806298014 39068722728 44107347683 50408397352 56709447021 75612596028 88214695366 113418894042 132322043049 151225192056 176429390732 226837788084 264644086098 308751433781 352858781464 396966129147 453675576168 529288172196 617502867562 793932258294 926254301343 1058576344392 1235005735124 1587864516588 1852508602686 2470011470248 2778762904029 3175729033176 3705017205372 5557525808058 7410034410744 11115051616116 22230103232232