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2255293152 = 253372331523
BaseRepresentation
bin1000011001101101…
…0000101011100000
312211011201202121000
42012123100223200
514104323340102
61011442432000
7106613450460
oct20633205340
95734652530
102255293152
11a58066142
1252b362600
1329c3210b8
14175751ba0
15d2ee001c
hex866d0ae0

2255293152 has 384 divisors, whose sum is σ = 8113029120. Its totient is φ = 595330560.

The previous prime is 2255293133. The next prime is 2255293189. The reversal of 2255293152 is 2513925522.

2255293152 is a `hidden beast` number, since 2 + 2 + 552 + 93 + 15 + 2 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4311963 + ... + 4312485.

It is an arithmetic number, because the mean of its divisors is an integer number (21127680).

Almost surely, 22255293152 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 2255293152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056514560).

2255293152 is an abundant number, since it is smaller than the sum of its proper divisors (5857735968).

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

2255293152 is a wasteful number, since it uses less digits than its factorization.

2255293152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2255293152 is about 47489.9268477011. The cubic root of 2255293152 is about 1311.3974466411.

The spelling of 2255293152 in words is "two billion, two hundred fifty-five million, two hundred ninety-three thousand, one hundred fifty-two".