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252223488 = 2133211311
BaseRepresentation
bin11110000100010…
…10000000000000
3122120121021120200
433002022000000
51004032122423
641010005200
76151602306
oct1702120000
9576537520
10252223488
1111a412270
1270576800
134034078a
14256d8276
1517222d43
hexf08a000

252223488 has 168 divisors, whose sum is σ = 797393376. Its totient is φ = 76185600.

The previous prime is 252223459. The next prime is 252223507. The reversal of 252223488 is 884322252.

It is a super-2 number, since 2×2522234882 = 127233375797772288, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810853 + ... + 811163.

Almost surely, 2252223488 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 252223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398696688).

252223488 is an abundant number, since it is smaller than the sum of its proper divisors (545169888).

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

252223488 is a wasteful number, since it uses less digits than its factorization.

252223488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 252223488 is about 15881.5455167310. The cubic root of 252223488 is about 631.8226282146.

The spelling of 252223488 in words is "two hundred fifty-two million, two hundred twenty-three thousand, four hundred eighty-eight".