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226135577545146 = 23247405413659327
BaseRepresentation
bin110011011010101101001010…
…110001010100100110111010
31002122200100110012201000022100
4303122231022301110212322
5214120001130322421041
62120541130012004230
765426520264066543
oct6332551261244672
91078610405630270
10226135577545146
1166065618200105
122144270b460676
13992465519baa9
143dbb03dbbb4ca
151b2248a70c6b6
hexcdab4ac549ba

226135577545146 has 48 divisors (see below), whose sum is σ = 500387100954624. Its totient is φ = 73774433558112.

The previous prime is 226135577545091. The next prime is 226135577545147. The reversal of 226135577545146 is 641545775531622.

226135577545146 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 3 + 5 + 5 + 77 + 545 + 14 + 6 = 666.

It is a super-2 number, since 2×2261355775451462 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226135577545147) 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, 342649735 + ... + 343309061.

It is an arithmetic number, because the mean of its divisors is an integer number (10424731269888).

Almost surely, 2226135577545146 is an apocalyptic number.

226135577545146 is an abundant number, since it is smaller than the sum of its proper divisors (274251523409478).

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

226135577545146 is a wasteful number, since it uses less digits than its factorization.

226135577545146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064795 (or 1064792 counting only the distinct ones).

The product of its digits is 211680000, while the sum is 63.

The spelling of 226135577545146 in words is "two hundred twenty-six trillion, one hundred thirty-five billion, five hundred seventy-seven million, five hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 405413 659327 810826 1216239 1318654 1977981 2432478 3648717 3955962 5933943 7297434 11867886 19054411 30988369 38108822 57163233 61976738 92965107 114326466 171489699 185930214 278895321 342979398 557790642 267299737051 534599474102 801899211153 1603798422306 2405697633459 4811395266918 12563087641397 25126175282794 37689262924191 75378525848382 113067788772573 226135577545146