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226672657145104 = 241783221112
BaseRepresentation
bin110011100010100001010111…
…001101011001110100010000
31002201120200202012201120022211
4303202201113031121310100
5214202301100212120404
62122031551531441504
765513362516263202
oct6342412715316420
91081520665646284
10226672657145104
1166252374683895
122150a81a2b6294
1399631a8337b51
143dd902d7a6772
151b31421758b04
hexce2857359d10

226672657145104 has 45 divisors (see below), whose sum is σ = 439632983712279. Its totient is φ = 113219105266080.

The previous prime is 226672657145071. The next prime is 226672657145107. The reversal of 226672657145104 is 401541756276622.

It is a happy number.

The square root of 226672657145104 is 15055652.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2266726571451042 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226672657145107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107376909009 + ... + 107376911119.

Almost surely, 2226672657145104 is an apocalyptic number.

226672657145104 is the 15055652-nd square number.

It is an amenable number.

226672657145104 is a deficient number, since it is larger than the sum of its proper divisors (212960326567175).

226672657145104 is an frugal number, since it uses more digits than its factorization.

226672657145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 226672657145104 in words is "two hundred twenty-six trillion, six hundred seventy-two billion, six hundred fifty-seven million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 1783 2111 3566 4222 7132 8444 14264 16888 28528 33776 3179089 3763913 4456321 6358178 7527826 8912642 12716356 15055652 17825284 25432712 30111304 35650568 50865424 60222608 71301136 6711056879 7945620343 13422113758 15891240686 26844227516 31782481372 53688455032 63564962744 107376910064 127129925488 14167041071569 28334082143138 56668164286276 113336328572552 226672657145104