Search a number
-
+
232523231430400 = 2852125928857629
BaseRepresentation
bin110100110111101010001000…
…100111001000011100000000
31010111022000002210102022200021
4310313222020213020130000
5220434130034221233100
62142311410423103224
766656151303212311
oct6467521047103400
91114260083368607
10232523231430400
11680a8604302139
12220b46878a1b14
139c98b010ac781
14415c2821b6608
151bd36e2250a1a
hexd37a889c8700

232523231430400 has 108 divisors (see below), whose sum is σ = 575988483205800. Its totient is φ = 92935413821440.

The previous prime is 232523231430361. The next prime is 232523231430403. The reversal of 232523231430400 is 4034132325232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232523231430403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6371215 + ... + 22486414.

It is an arithmetic number, because the mean of its divisors is an integer number (5333226696350).

Almost surely, 2232523231430400 is an apocalyptic number.

232523231430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232523231430400 is an abundant number, since it is smaller than the sum of its proper divisors (343465251775400).

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

232523231430400 is a wasteful number, since it uses less digits than its factorization.

232523231430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28858914 (or 28858895 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 232523231430400 its reverse (4034132325232), we get a palindrome (236557363755632).

The spelling of 232523231430400 in words is "two hundred thirty-two trillion, five hundred twenty-three billion, two hundred thirty-one million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1259 1280 1600 2518 3200 5036 6295 6400 10072 12590 20144 25180 31475 40288 50360 62950 80576 100720 125900 161152 201440 251800 322304 402880 503600 805760 1007200 1611520 2014400 4028800 8057600 28857629 57715258 115430516 144288145 230861032 288576290 461722064 577152580 721440725 923444128 1154305160 1442881450 1846888256 2308610320 2885762900 3693776512 4617220640 5771525800 7387553024 9234441280 11543051600 18468882560 23086103200 36331754911 36937765120 46172206400 72663509822 92344412800 145327019644 181658774555 184688825600 290654039288 363317549110 581308078576 726635098220 908293872775 1162616157152 1453270196440 1816587745550 2325232314304 2906540392880 3633175491100 4650464628608 5813080785760 7266350982200 9300929257216 11626161571520 14532701964400 23252323143040 29065403928800 46504646286080 58130807857600 116261615715200 232523231430400