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232114223414420 = 225281182322655767
BaseRepresentation
bin110100110001101101001101…
…110101010111110010010100
31010102211220101022200022210222
4310301231031311113302110
5220410424412143230140
62141355445133533512
766614461560353114
oct6461551565276224
91112756338608728
10232114223414420
1167a600a8a04036
122204935b944298
139c6937b445679
144146561913044
151bc7c54ae55b5
hexd31b4dd57c94

232114223414420 has 48 divisors (see below), whose sum is σ = 489442887134208. Its totient is φ = 92464524660480.

The previous prime is 232114223414371. The next prime is 232114223414443. The reversal of 232114223414420 is 24414322411232.

It is a super-2 number, since 2×2321142234144202 (a number of 30 digits) contains 22 as substring.

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, 1082624 + ... + 21573143.

It is an arithmetic number, because the mean of its divisors is an integer number (10196726815296).

Almost surely, 2232114223414420 is an apocalyptic number.

232114223414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232114223414420 is an abundant number, since it is smaller than the sum of its proper divisors (257328663719788).

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

232114223414420 is a wasteful number, since it uses less digits than its factorization.

232114223414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657880 (or 22657878 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 232114223414420 its reverse (24414322411232), we get a palindrome (256528545825652).

The spelling of 232114223414420 in words is "two hundred thirty-two trillion, one hundred fourteen billion, two hundred twenty-three million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 1823 2810 3646 5620 7292 9115 18230 36460 512263 1024526 2049052 2561315 5122630 10245260 22655767 45311534 90623068 113278835 226557670 453115340 6366270527 12732541054 25465082108 31831352635 41301463241 63662705270 82602926482 127325410540 165205852964 206507316205 413014632410 826029264820 11605711170721 23211422341442 46422844682884 58028555853605 116057111707210 232114223414420