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232000224 = 25317142157
BaseRepresentation
bin11011101010000…
…00101011100000
3121011112211110220
431311000223200
5433343001344
635004323040
75514653331
oct1565005340
9534484426
10232000224
11109a5a225
1265843480
13390ac851
1422b52288
151557ac19
hexdd40ae0

232000224 has 48 divisors (see below), whose sum is σ = 644828688. Its totient is φ = 72783872.

The previous prime is 232000211. The next prime is 232000231. The reversal of 232000224 is 422000232.

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

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, 69447 + ... + 72710.

It is an arithmetic number, because the mean of its divisors is an integer number (13433931).

Almost surely, 2232000224 is an apocalyptic number.

232000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232000224 is an abundant number, since it is smaller than the sum of its proper divisors (412828464).

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

232000224 is a wasteful number, since it uses less digits than its factorization.

232000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142187 (or 142179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 232000224 is about 15231.5535648863. The cubic root of 232000224 is about 614.4635628954.

Adding to 232000224 its reverse (422000232), we get a palindrome (654000456).

The spelling of 232000224 in words is "two hundred thirty-two million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 142157 284314 426471 568628 852942 1137256 1705884 2274512 2416669 3411768 4549024 4833338 6823536 7250007 9666676 13647072 14500014 19333352 29000028 38666704 58000056 77333408 116000112 232000224