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226136671050304 = 2675951791651943
BaseRepresentation
bin110011011010101110001011…
…111100101101101001000000
31002122200110021102022211101101
4303122232023330231221000
5214120010400242102204
62120541430313344144
765426556342532330
oct6332561374555100
91078613242284341
10226136671050304
1166066029489783
1221442975708054
13992479a8b7471
143dbb1051090c0
151b2250170dea4
hexcdab8bf2da40

226136671050304 has 112 divisors (see below), whose sum is σ = 521638982323200. Its totient is φ = 95254623207936.

The previous prime is 226136671050259. The next prime is 226136671050347. The reversal of 226136671050304 is 403050176631622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2261366710503042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136065357 + ... + 137717299.

It is an arithmetic number, because the mean of its divisors is an integer number (4657490913600).

Almost surely, 2226136671050304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226136671050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260819491161600).

226136671050304 is an abundant number, since it is smaller than the sum of its proper divisors (295502311272896).

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

226136671050304 is a wasteful number, since it uses less digits than its factorization.

226136671050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657200 (or 1657190 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 226136671050304 in words is "two hundred twenty-six trillion, one hundred thirty-six billion, six hundred seventy-one million, fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 3304 3776 5179 6608 10358 13216 20716 26432 36253 41432 72506 82864 145012 165728 290024 305561 331456 580048 611122 1160096 1222244 1651943 2138927 2320192 2444488 3303886 4277854 4888976 6607772 8555708 9777952 11563601 13215544 17111416 19555904 23127202 26431088 34222832 46254404 52862176 68445664 92508808 97464637 105724352 136891328 185017616 194929274 370035232 389858548 682252459 740070464 779717096 1364504918 1559434192 2729009836 3118868384 5458019672 6237736768 8555412797 10916039344 17110825594 21832078688 34221651188 43664157376 59887889579 68443302376 119775779158 136886604752 239551558316 273773209504 479103116632 504769355023 547546419008 958206233264 1009538710046 1916412466528 2019077420092 3533385485161 3832824933056 4038154840184 7066770970322 8076309680368 14133541940644 16152619360736 28267083881288 32305238721472 56534167762576 113068335525152 226136671050304