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234312200232 = 233113145676269
BaseRepresentation
bin1101101000111000011…
…0000111000000101000
3211101210121202001112020
43122032012013000220
512314332410401412
6255350323344440
722633321561125
oct3321606070050
9741717661466
10234312200232
119040a146080
12394b2822120
1319131bb5936
14b4ab10b74c
15616594218c
hex368e187028

234312200232 has 128 divisors (see below), whose sum is σ = 659896934400. Its totient is φ = 68687251200.

The previous prime is 234312200219. The next prime is 234312200237. The reversal of 234312200232 is 232002213432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (234312200237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37373194 + ... + 37379462.

It is an arithmetic number, because the mean of its divisors is an integer number (5155444800).

Almost surely, 2234312200232 is an apocalyptic number.

234312200232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234312200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329948467200).

234312200232 is an abundant number, since it is smaller than the sum of its proper divisors (425584734168).

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

234312200232 is a wasteful number, since it uses less digits than its factorization.

234312200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234312200232 its reverse (232002213432), we get a palindrome (466314413664).

The spelling of 234312200232 in words is "two hundred thirty-four billion, three hundred twelve million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 4567 6269 8184 9134 12538 13701 18268 18807 25076 27402 36536 37614 50152 50237 54804 68959 75228 100474 109608 137918 141577 150456 150711 194339 200948 206877 275836 283154 301422 388678 401896 413754 424731 551672 566308 583017 602844 777356 827508 849462 1132616 1166034 1205688 1554712 1557347 1655016 1698924 2137729 2332068 3114694 3397848 4275458 4664136 4672041 6229388 6413187 8550916 9344082 12458776 12826374 17101832 18688164 25652748 28630523 37376328 51305496 57261046 85891569 114522092 171783138 229044184 314935753 343566276 629871506 687132552 887546213 944807259 1259743012 1775092426 1889614518 2519486024 2662638639 3550184852 3779229036 5325277278 7100369704 7558458072 9763008343 10650554556 19526016686 21301109112 29289025029 39052033372 58578050058 78104066744 117156100116 234312200232