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10226936520 = 23325173164209
BaseRepresentation
bin10011000011001001…
…01010101011001000
3222101201210012111200
421201210222223020
5131421043432040
64410450424200
7511301345313
oct114144525310
928351705450
1010226936520
114378925859
121b94b92060
13c6ca16238
146d035797a
153ecc88630
hex26192aac8

10226936520 has 96 divisors (see below), whose sum is σ = 33429871800. Its totient is φ = 2711402496.

The previous prime is 10226936509. The next prime is 10226936563. The reversal of 10226936520 is 2563962201.

10226936520 is a `hidden beast` number, since 10 + 2 + 269 + 365 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8461424196 + 1765512324 = 91986^2 + 42018^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19825 + ... + 144384.

Almost surely, 210226936520 is an apocalyptic number.

10226936520 is a gapful number since it is divisible by the number (10) 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 10226936520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714935900).

10226936520 is an abundant number, since it is smaller than the sum of its proper divisors (23202935280).

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

10226936520 is a wasteful number, since it uses less digits than its factorization.

10226936520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164399 (or 164392 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10226936520 in words is "ten billion, two hundred twenty-six million, nine hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 2076 2595 3114 3460 4152 5190 6228 6920 7785 10380 12456 15570 20760 31140 62280 164209 328418 492627 656836 821045 985254 1313672 1477881 1642090 1970508 2463135 2955762 3284180 3941016 4926270 5911524 6568360 7389405 9852540 11823048 14778810 19705080 28408157 29557620 56816314 59115240 85224471 113632628 142040785 170448942 227265256 255673413 284081570 340897884 426122355 511346826 568163140 681795768 852244710 1022693652 1136326280 1278367065 1704489420 2045387304 2556734130 3408978840 5113468260 10226936520