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226510350300640 = 25571997101272601
BaseRepresentation
bin110011100000001010001100…
…111101111011010111100000
31002201000011210202202120122001
4303200022030331323113200
5214142121144134110030
62121425230212453344
765465555432001010
oct6340121475732740
91081004722676561
10226510350300640
116619a5556a52aa
12214a328201a254
139950ab019a903
143dd1233761c40
151b2c0c24e6cca
hexce028cf7b5e0

226510350300640 has 96 divisors (see below), whose sum is σ = 611884200199104. Its totient is φ = 77621802086400.

The previous prime is 226510350300623. The next prime is 226510350300673. The reversal of 226510350300640 is 46003053015622.

226510350300640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226510350300640.

It is a congruent number.

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, 48399661 + ... + 52872940.

It is an arithmetic number, because the mean of its divisors is an integer number (6373793752074).

Almost surely, 2226510350300640 is an apocalyptic number.

226510350300640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226510350300640 is an abundant number, since it is smaller than the sum of its proper divisors (385373849898464).

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

226510350300640 is a wasteful number, since it uses less digits than its factorization.

226510350300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101274620 (or 101274612 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 226510350300640 in words is "two hundred twenty-six trillion, five hundred ten billion, three hundred fifty million, three hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1997 3994 7988 9985 13979 15976 19970 27958 31952 39940 55916 63904 69895 79880 111832 139790 159760 223664 279580 319520 447328 559160 1118320 2236640 101272601 202545202 405090404 506363005 708908207 810180808 1012726010 1417816414 1620361616 2025452020 2835632828 3240723232 3544541035 4050904040 5671265656 7089082070 8101808080 11342531312 14178164140 16203616160 22685062624 28356328280 56712656560 113425313120 202241384197 404482768394 808965536788 1011206920985 1415689689379 1617931073576 2022413841970 2831379378758 3235862147152 4044827683940 5662758757516 6471724294304 7078448446895 8089655367880 11325517515032 14156896893790 16179310735760 22651035030064 28313793787580 32358621471520 45302070060128 56627587575160 113255175150320 226510350300640