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232105224 = 233132932539
BaseRepresentation
bin11011101010110…
…10010100001000
3121011202011111210
431311122110020
5433404331344
635010453120
75515601421
oct1565322410
9534664453
10232105224
1110a0210aa
12658941a0
1339118590
1422b7c648
151559bdb9
hexdd5a508

232105224 has 64 divisors (see below), whose sum is σ = 627278400. Its totient is φ = 71145216.

The previous prime is 232105217. The next prime is 232105229. The reversal of 232105224 is 422501232.

It is a Cunningham number, because it is equal to 152352-1.

It is a self number, because there is not a number n which added to its sum of digits gives 232105224.

It is not an unprimeable number, because it can be changed into a prime (232105229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90147 + ... + 92685.

It is an arithmetic number, because the mean of its divisors is an integer number (9801225).

Almost surely, 2232105224 is an apocalyptic number.

232105224 is a gapful number since it is divisible by the number (24) 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 232105224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313639200).

232105224 is an abundant number, since it is smaller than the sum of its proper divisors (395173176).

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

232105224 is a wasteful number, since it uses less digits than its factorization.

232105224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 232105224 is about 15234.9999671808. Note that the first 4 decimals coincide. The cubic root of 232105224 is about 614.5562480691.

Adding to 232105224 its reverse (422501232), we get a palindrome (654606456).

The spelling of 232105224 in words is "two hundred thirty-two million, one hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 293 312 586 879 1172 1758 2344 2539 3516 3809 5078 7032 7617 7618 10156 11427 15234 15236 20312 22854 30468 30472 33007 45708 60936 66014 91416 99021 132028 198042 264056 396084 743927 792168 1487854 2231781 2975708 4463562 5951416 8927124 9671051 17854248 19342102 29013153 38684204 58026306 77368408 116052612 232105224