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22214520000324 = 22332291249719143
BaseRepresentation
bin1010000110100001110001…
…00100101100111101000100
32220122200120002112111001000
411003100320210230331010
510402430314110002244
6115125113135133300
74451642341316301
oct503207044547504
986580502474030
1022214520000324
117095141455193
1225a93a5974230
13c51a88111832
1456b28d3860a8
15287cb5dd5169
hex14343892cf44

22214520000324 has 96 divisors (see below), whose sum is σ = 57891092000000. Its totient is φ = 7366591484928.

The previous prime is 22214520000311. The next prime is 22214520000329. The reversal of 22214520000324 is 42300002541222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22214520000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30530697 + ... + 31249839.

Almost surely, 222214520000324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214520000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28945546000000).

22214520000324 is an abundant number, since it is smaller than the sum of its proper divisors (35676571999676).

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

22214520000324 is a wasteful number, since it uses less digits than its factorization.

22214520000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720634 (or 720626 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22214520000324 its reverse (42300002541222), we get a palindrome (64514522541546).

The spelling of 22214520000324 in words is "twenty-two trillion, two hundred fourteen billion, five hundred twenty million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1249 1374 2061 2498 2748 3747 4122 4996 6183 7494 8244 11241 12366 14988 22482 24732 33723 44964 67446 134892 286021 572042 719143 858063 1144084 1438286 1716126 2157429 2574189 2876572 3432252 4314858 5148378 6472287 7722567 8629716 10296756 12944574 15445134 19416861 25889148 30890268 38833722 77667444 164683747 329367494 494051241 658734988 898209607 988102482 1482153723 1796419214 1976204964 2694628821 2964307446 3592838428 4446461169 5389257642 5928614892 8083886463 8892922338 10778515284 16167772926 17785844676 24251659389 32335545852 48503318778 97006637556 205690000003 411380000006 617070000009 822760000012 1234140000018 1851210000027 2468280000036 3702420000054 5553630000081 7404840000108 11107260000162 22214520000324