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225826511130 = 232511229996103
BaseRepresentation
bin1101001001010001001…
…1110001100100011010
3210120220020102101102200
43102110103301210122
512144443041324010
6251424313511030
722213122446553
oct3222423614432
9716806371380
10225826511130
11878551a6280
1237924a12476
13183abb5b51c
14ad0413532a
155d1a9a8cc0
hex34944f191a

225826511130 has 96 divisors (see below), whose sum is σ = 643323807360. Its totient is φ = 54506701440.

The previous prime is 225826511129. The next prime is 225826511143. The reversal of 225826511130 is 31115628522.

225826511130 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 2 + 6 + 511 + 130 = 666.

It is a super-2 number, since 2×2258265111302 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271342 + ... + 724761.

It is an arithmetic number, because the mean of its divisors is an integer number (6701289660).

Almost surely, 2225826511130 is an apocalyptic number.

225826511130 is an abundant number, since it is smaller than the sum of its proper divisors (417497296230).

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

225826511130 is a wasteful number, since it uses less digits than its factorization.

225826511130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996356 (or 996353 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 225826511130 in words is "two hundred twenty-five billion, eight hundred twenty-six million, five hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 229 330 458 495 687 990 1145 1374 2061 2290 2519 3435 4122 5038 6870 7557 10305 12595 15114 20610 22671 25190 37785 45342 75570 113355 226710 996103 1992206 2988309 4980515 5976618 8964927 9961030 10957133 14941545 17929854 21914266 29883090 32871399 44824635 54785665 65742798 89649270 98614197 109571330 164356995 197228394 228107587 328713990 456215174 493070985 684322761 986141970 1140537935 1368645522 2052968283 2281075870 2509183457 3421613805 4105936566 5018366914 6843227610 7527550371 10264841415 12545917285 15055100742 20529682830 22582651113 25091834570 37637751855 45165302226 75275503710 112913255565 225826511130