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232021344 = 2532983341
BaseRepresentation
bin11011101010001…
…01110101100000
3121011120220110010
431311011311200
5433344140334
635005004520
75515102032
oct1565056540
9534526403
10232021344
11109a74085
1265853740
13390b9349
1422b59c52
15155820e9
hexdd45d60

232021344 has 48 divisors (see below), whose sum is σ = 630065520. Its totient is φ = 74672640.

The previous prime is 232021291. The next prime is 232021357. The reversal of 232021344 is 443120232.

232021344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 232021344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38887 + ... + 44454.

It is an arithmetic number, because the mean of its divisors is an integer number (13126365).

Almost surely, 2232021344 is an apocalyptic number.

232021344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232021344 is an abundant number, since it is smaller than the sum of its proper divisors (398044176).

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

232021344 is a wasteful number, since it uses less digits than its factorization.

232021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83383 (or 83375 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232021344 is about 15232.2468467393. The cubic root of 232021344 is about 614.4822081025.

Adding to 232021344 its reverse (443120232), we get a palindrome (675141576).

The spelling of 232021344 in words is "two hundred thirty-two million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 83341 166682 250023 333364 500046 666728 1000092 1333456 2000184 2416889 2666912 4000368 4833778 7250667 8000736 9667556 14501334 19335112 29002668 38670224 58005336 77340448 116010672 232021344