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226092676032 = 26331961791429
BaseRepresentation
bin1101001010010000101…
…1000111001111000000
3210121120210020222001000
43102210023013033000
512201014211113112
6251510542412000
722222534015536
oct3224413071700
9717523228030
10226092676032
118798146a973
1237999b91000
1318422040852
14ad2b61c156
155d340327dc
hex34a42c73c0

226092676032 has 448 divisors, whose sum is σ = 720628480000. Its totient is φ = 69289758720.

The previous prime is 226092676031. The next prime is 226092676039. The reversal of 226092676032 is 230676290622.

It is a happy number.

226092676032 is a `hidden beast` number, since 2 + 2 + 609 + 2 + 6 + 7 + 6 + 0 + 32 = 666.

It is a super-2 number, since 2×2260926760322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226092676031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158216694 + ... + 158218122.

Almost surely, 2226092676032 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 226092676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360314240000).

226092676032 is an abundant number, since it is smaller than the sum of its proper divisors (494535803968).

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

226092676032 is a wasteful number, since it uses less digits than its factorization.

226092676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 226092676032 in words is "two hundred twenty-six billion, ninety-two million, six hundred seventy-six thousand, thirty-two".