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232354216088020 = 225134811918572083
BaseRepresentation
bin110100110101001100101110…
…100000110001000111010100
31010110200211211211020022212201
4310311030232200301013110
5220423342413304304040
62142102015301454244
766641016036415135
oct6465145640610724
91113624754208781
10232354216088020
11680429625798a4
1222087978a11384
139c85ba7150440
14415400b215c8c
151bce0ee0a5a9a
hexd3532e8311d4

232354216088020 has 48 divisors (see below), whose sum is σ = 525488945063040. Its totient is φ = 85790538400896.

The previous prime is 232354216087943. The next prime is 232354216088023. The reversal of 232354216088020 is 20880612453232.

It is a super-3 number, since 3×2323542160880203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232354216088023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3224899 + ... + 21796981.

It is an arithmetic number, because the mean of its divisors is an integer number (10947686355480).

Almost surely, 2232354216088020 is an apocalyptic number.

232354216088020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232354216088020 is an abundant number, since it is smaller than the sum of its proper divisors (293134728975020).

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

232354216088020 is a wasteful number, since it uses less digits than its factorization.

232354216088020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18620224 (or 18620222 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 232354216088020 in words is "two hundred thirty-two trillion, three hundred fifty-four billion, two hundred sixteen million, eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 48119 96238 192476 240595 481190 625547 962380 1251094 2502188 3127735 6255470 12510940 18572083 37144166 74288332 92860415 185720830 241437079 371441660 482874158 965748316 1207185395 2414370790 4828741580 893670061877 1787340123754 3574680247508 4468350309385 8936700618770 11617710804401 17873401237540 23235421608802 46470843217604 58088554022005 116177108044010 232354216088020