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226997971200 = 2832527111331127
BaseRepresentation
bin1101001101101000100…
…0100010100100000000
3210200220212201201112200
43103122020202210000
512204342440034300
6252140442153200
722254135630210
oct3233210424400
9720825651480
10226997971200
11882a64895a0
1237bb11b2800
131853776c470
14adb5956240
155d88758200
hex34da222900

226997971200 has 2592 divisors, whose sum is σ = 1133666107392. Its totient is φ = 41803776000.

The previous prime is 226997971183. The next prime is 226997971247. The reversal of 226997971200 is 2179799622.

226997971200 is a `hidden beast` number, since 2 + 269 + 97 + 97 + 1 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1787385537 + ... + 1787385663.

Almost surely, 2226997971200 is an apocalyptic number.

226997971200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226997971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566833053696).

226997971200 is an abundant number, since it is smaller than the sum of its proper divisors (906668136192).

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

226997971200 is a wasteful number, since it uses less digits than its factorization.

226997971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 226997971200 in words is "two hundred twenty-six billion, nine hundred ninety-seven million, nine hundred seventy-one thousand, two hundred".