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23283232 = 257231479
BaseRepresentation
bin101100011010…
…0011000100000
31121210220120221
41120310120200
521430030412
62151012424
7401622100
oct130643040
947726527
1023283232
1112163045
12796a114
134a9297b
143141200
15209db07
hex1634620

23283232 has 72 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 9636480.

The previous prime is 23283223. The next prime is 23283241. The reversal of 23283232 is 23238232.

It is an interprime number because it is at equal distance from previous prime (23283223) and next prime (23283241).

It is a junction number, because it is equal to n+sod(n) for n = 23283197 and 23283206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48369 + ... + 48847.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 223283232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

23283232 is an abundant number, since it is smaller than the sum of its proper divisors (31874528).

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

23283232 is a wasteful number, since it uses less digits than its factorization.

23283232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 23283232 is about 4825.2701478777. The cubic root of 23283232 is about 285.5492925483.

The spelling of 23283232 in words is "twenty-three million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 479 496 784 868 958 992 1519 1568 1736 1916 3038 3353 3472 3832 6076 6706 6944 7664 12152 13412 14849 15328 23471 24304 26824 29698 46942 48608 53648 59396 93884 103943 107296 118792 187768 207886 237584 375536 415772 475168 727601 751072 831544 1455202 1663088 2910404 3326176 5820808 11641616 23283232