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226288233099072 = 2635109597132763
BaseRepresentation
bin110011011100111011010101…
…110000000010111101000000
31002200012221111001001122100000
4303130323111300002331000
5214130001300133132242
62121135213522200000
765443533236640534
oct6334732560027500
91080187431048300
10226288233099072
1166114334298221
12214682134b3000
139935b72972521
143dc45a2111bc4
151b264224e2a4c
hexcdced5c02f40

226288233099072 has 168 divisors, whose sum is σ = 672648320614816. Its totient is φ = 75428154643968.

The previous prime is 226288233099007. The next prime is 226288233099077. The reversal of 226288233099072 is 270990332882622.

226288233099072 is a `hidden beast` number, since 2 + 26 + 288 + 23 + 309 + 9 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×2262882330990722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226288233099077) by changing a digit.

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, 1704386163 + ... + 1704518925.

Almost surely, 2226288233099072 is an apocalyptic number.

It is an amenable number.

226288233099072 is an abundant number, since it is smaller than the sum of its proper divisors (446360087515744).

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

226288233099072 is a wasteful number, since it uses less digits than its factorization.

226288233099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242387 (or 242365 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 226288233099072 in words is "two hundred twenty-six trillion, two hundred eighty-eight billion, two hundred thirty-three million, ninety-nine thousand, seventy-two".