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1137229056 = 28325367139
BaseRepresentation
bin100001111001000…
…1011110100000000
32221020220012222200
41003302023310000
54312112312211
6304502433200
740116200415
oct10362136400
92836805880
101137229056
11533a33027
12278a32800
131517b7202
14ab07010c
1569c8bb56
hex43c8bd00

1137229056 has 216 divisors, whose sum is σ = 3415033440. Its totient is φ = 363737088.

The previous prime is 1137229033. The next prime is 1137229057. The reversal of 1137229056 is 6509227311.

It is a super-2 number, since 2×11372290562 = 2586579851621302272, which contains 22 as substring.

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 1137229056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137229057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8181435 + ... + 8181573.

It is an arithmetic number, because the mean of its divisors is an integer number (15810340).

Almost surely, 21137229056 is an apocalyptic number.

1137229056 is a gapful number since it is divisible by the number (16) 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 1137229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707516720).

1137229056 is an abundant number, since it is smaller than the sum of its proper divisors (2277804384).

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

1137229056 is a wasteful number, since it uses less digits than its factorization.

1137229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1137229056 is about 33722.8269277651. The cubic root of 1137229056 is about 1043.7968512991.

The spelling of 1137229056 in words is "one billion, one hundred thirty-seven million, two hundred twenty-nine thousand, fifty-six".