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631331226 = 233113157659
BaseRepresentation
bin100101101000010…
…101100110011010
31121222221221122000
4211220111212122
52243110044401
6142351341430
721434140551
oct4550254632
91558857560
10631331226
112a4408549
12157521876
13a0a48796
145dbc0d98
153a65b186
hex25a1599a

631331226 has 64 divisors (see below), whose sum is σ = 1426550400. Its totient is φ = 206938368.

The previous prime is 631331191. The next prime is 631331249. The reversal of 631331226 is 622133136.

It is a happy number.

631331226 is a `hidden beast` number, since 631 + 3 + 3 + 1 + 2 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 631331226.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957685 + ... + 958343.

It is an arithmetic number, because the mean of its divisors is an integer number (22289850).

Almost surely, 2631331226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631331226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713275200).

631331226 is an abundant number, since it is smaller than the sum of its proper divisors (795219174).

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

631331226 is a wasteful number, since it uses less digits than its factorization.

631331226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 631331226 is about 25126.3054586224. The cubic root of 631331226 is about 857.8652778838.

The spelling of 631331226 in words is "six hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 113 157 226 314 339 471 659 678 942 1017 1318 1413 1977 2034 2826 3051 3954 4239 5931 6102 8478 11862 17741 17793 35482 35586 53223 74467 103463 106446 148934 159669 206926 223401 310389 319338 446802 479007 620778 670203 931167 958014 1340406 1862334 2010609 2793501 4021218 5587002 11691319 23382638 35073957 70147914 105221871 210443742 315665613 631331226