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226515742100 = 22524793472597
BaseRepresentation
bin1101001011110101100…
…0111110110110010100
3210122200021022221120122
43102331120332312110
512202401012221400
6252020534251112
722236162016364
oct3227530766624
9718607287518
10226515742100
118807925a74a
1237a977b6a98
131848b899cbb
14ad6b8a89a4
155d5b250685
hex34bd63ed94

226515742100 has 36 divisors (see below), whose sum is σ = 491642754204. Its totient is φ = 90587201280.

The previous prime is 226515742087. The next prime is 226515742127. The reversal of 226515742100 is 1247515622.

It can be written as a sum of positive squares in 6 ways, for example, as 22068885136 + 204446856964 = 148556^2 + 452158^2 .

It is a super-2 number, since 2×2265157421002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243002 + ... + 715598.

Almost surely, 2226515742100 is an apocalyptic number.

226515742100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226515742100 is an abundant number, since it is smaller than the sum of its proper divisors (265127012104).

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

226515742100 is a wasteful number, since it uses less digits than its factorization.

226515742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477404 (or 477397 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 226515742100 in words is "two hundred twenty-six billion, five hundred fifteen million, seven hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4793 9586 19172 23965 47930 95860 119825 239650 472597 479300 945194 1890388 2362985 4725970 9451940 11814925 23629850 47259700 2265157421 4530314842 9060629684 11325787105 22651574210 45303148420 56628935525 113257871050 226515742100