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631505226 = 2311107223401
BaseRepresentation
bin100101101001000…
…000000101001010
31122000021210022110
4211221000011022
52243131131401
6142355203150
721435464052
oct4551000512
91560253273
10631505226
112a4517250
121575a64b6
13a0aa9a41
145dc28562
153a6929d6
hex25a4014a

631505226 has 64 divisors (see below), whose sum is σ = 1400426496. Its totient is φ = 188256000.

The previous prime is 631505221. The next prime is 631505279. The reversal of 631505226 is 622505136.

It is a super-2 number, since 2×6315052262 = 797597700930622152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 631505193 and 631505202.

It is not an unprimeable number, because it can be changed into a prime (631505221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574626 + ... + 1575026.

It is an arithmetic number, because the mean of its divisors is an integer number (21881664).

Almost surely, 2631505226 is an apocalyptic number.

631505226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 631505226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700213248).

631505226 is an abundant number, since it is smaller than the sum of its proper divisors (768921270).

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

631505226 is a wasteful number, since it uses less digits than its factorization.

631505226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 631505226 is about 25129.7677267419. The cubic root of 631505226 is about 857.9440821845.

The spelling of 631505226 in words is "six hundred thirty-one million, five hundred five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 107 214 223 321 401 446 642 669 802 1177 1203 1338 2354 2406 2453 3531 4411 4906 7062 7359 8822 13233 14718 23861 26466 42907 47722 71583 85814 89423 128721 143166 178846 257442 262471 268269 471977 524942 536538 787413 943954 983653 1415931 1574826 1967306 2831862 2950959 5901918 9568261 19136522 28704783 57409566 105250871 210501742 315752613 631505226