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22312213302132 = 22321353899540933
BaseRepresentation
bin1010001001010111101111…
…00011000100101101110100
32221000000201111201102020100
411010223313203010231310
510411030403101132012
6115242031141434100
74462001305555215
oct504536743045564
987000644642210
1022312213302132
117122613804846
12260430b10b930
13c5b056a723b0
14571cb9d1340c
1528a5d28788dc
hex144af78c4b74

22312213302132 has 72 divisors (see below), whose sum is σ = 61884818095464. Its totient is φ = 6735762498816.

The previous prime is 22312213302103. The next prime is 22312213302179. The reversal of 22312213302132 is 23120331221322.

22312213302132 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 221 + 3 + 302 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5560333777296 + 16751879524836 = 2358036^2 + 4092906^2 .

It is a super-3 number, since 3×223122133021323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312213302096 and 22312213302105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449745663 + ... + 449795270.

It is an arithmetic number, because the mean of its divisors is an integer number (859511362437).

Almost surely, 222312213302132 is an apocalyptic number.

It is an amenable number.

22312213302132 is an abundant number, since it is smaller than the sum of its proper divisors (39572604793332).

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

22312213302132 is a wasteful number, since it uses less digits than its factorization.

22312213302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899541009 (or 899541004 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22312213302132 its reverse (23120331221322), we get a palindrome (45432544523454).

The spelling of 22312213302132 in words is "twenty-two trillion, three hundred twelve billion, two hundred thirteen million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 12402 24804 899540933 1799081866 2698622799 3598163732 5397245598 8095868397 10794491196 11694032129 16191736794 23388064258 32383473588 35082096387 46776128516 47675669449 70164192774 95351338898 105246289161 140328385548 143027008347 190702677796 210492578322 286054016694 420985156644 429081025041 572108033388 619783702837 858162050082 1239567405674 1716324100164 1859351108511 2479134811348 3718702217022 5578053325533 7437404434044 11156106651066 22312213302132