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221381162080 = 25513106433251
BaseRepresentation
bin1100111000101101011…
…0000111010001100000
3210011102102201020221021
43032023112013101200
512111342034141310
6245411234335224
721665013554341
oct3161326072140
9704372636837
10221381162080
1185983992791
1236aa412a514
1317b50bab080
14aa019b40c8
155b5a5b35da
hex338b587460

221381162080 has 48 divisors (see below), whose sum is σ = 563244769584. Its totient is φ = 81740736000.

The previous prime is 221381162027. The next prime is 221381162081. The reversal of 221381162080 is 80261183122.

It is a happy number.

221381162080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221381162081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53214546 + ... + 53218705.

It is an arithmetic number, because the mean of its divisors is an integer number (11734266033).

Almost surely, 2221381162080 is an apocalyptic number.

221381162080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221381162080 is an abundant number, since it is smaller than the sum of its proper divisors (341863607504).

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

221381162080 is a wasteful number, since it uses less digits than its factorization.

221381162080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106433279 (or 106433271 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 221381162080 in words is "two hundred twenty-one billion, three hundred eighty-one million, one hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 106433251 212866502 425733004 532166255 851466008 1064332510 1383632263 1702932016 2128665020 2767264526 3405864032 4257330040 5534529052 6918161315 8514660080 11069058104 13836322630 17029320160 22138116208 27672645260 44276232416 55345290520 110690581040 221381162080