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222131264256 = 28321116275387
BaseRepresentation
bin1100111011100000001…
…1100001101100000000
3210020100201011101200100
43032320003201230000
512114411100424011
6250013511522400
722022422410216
oct3167003415400
9706321141610
10222131264256
1186229342640
1237073389400
1317c40410205
14aa73470cb6
155ba1380d56
hex33b80e1b00

222131264256 has 216 divisors, whose sum is σ = 699241967424. Its totient is φ = 67258644480.

The previous prime is 222131264239. The next prime is 222131264273. The reversal of 222131264256 is 652462131222.

222131264256 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 1 + 2 + 642 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (222131264239) and next prime (222131264273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 222131264256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41231995 + ... + 41237381.

Almost surely, 2222131264256 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 222131264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349620983712).

222131264256 is an abundant number, since it is smaller than the sum of its proper divisors (477110703168).

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

222131264256 is a wasteful number, since it uses less digits than its factorization.

222131264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7030 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 222131264256 its reverse (652462131222), we get a palindrome (874593395478).

The spelling of 222131264256 in words is "two hundred twenty-two billion, one hundred thirty-one million, two hundred sixty-four thousand, two hundred fifty-six".