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2262841056 = 253371372731
BaseRepresentation
bin1000011011100000…
…0011011011100000
312211200221020101000
42012320003123200
514113241403211
61012312312000
7110034555150
oct20670033340
95750836330
102262841056
11a61350a83
125319a2600
132a0a64808
14176758760
15d39d1656
hex86e036e0

2262841056 has 192 divisors, whose sum is σ = 7600642560. Its totient is φ = 641571840.

The previous prime is 2262841037. The next prime is 2262841111. The reversal of 2262841056 is 6501482622.

It is a happy number.

2262841056 is a `hidden beast` number, since 22 + 628 + 4 + 1 + 0 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2262841056.

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 31 ways as a sum of consecutive naturals, for example, 827211 + ... + 829941.

It is an arithmetic number, because the mean of its divisors is an integer number (39586680).

Almost surely, 22262841056 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 2262841056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800321280).

2262841056 is an abundant number, since it is smaller than the sum of its proper divisors (5337801504).

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

2262841056 is a wasteful number, since it uses less digits than its factorization.

2262841056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2262841056 is about 47569.3289420820. The cubic root of 2262841056 is about 1312.8587910531.

The spelling of 2262841056 in words is "two billion, two hundred sixty-two million, eight hundred forty-one thousand, fifty-six".