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68332224 = 263479743
BaseRepresentation
bin1000001001010…
…10101011000000
311202120122012010
410010222223000
5114443112344
610440332520
71456546212
oct404525300
9152518163
1068332224
1135632014
121aa74140
131120668c
14910a5b2
155eeb8b9
hex412aac0

68332224 has 56 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 22699264.

The previous prime is 68332177. The next prime is 68332237. The reversal of 68332224 is 42223386.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68332191 and 68332200.

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, 91597 + ... + 92339.

Almost surely, 268332224 is an apocalyptic number.

68332224 is a gapful number since it is divisible by the number (64) 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 68332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

68332224 is an abundant number, since it is smaller than the sum of its proper divisors (113084736).

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

68332224 is a wasteful number, since it uses less digits than its factorization.

68332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1227 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 68332224 is about 8266.3307458630. The cubic root of 68332224 is about 408.8291481368.

The spelling of 68332224 in words is "sixty-eight million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 479 743 958 1437 1486 1916 2229 2874 2972 3832 4458 5748 5944 7664 8916 11496 11888 15328 17832 22992 23776 30656 35664 45984 47552 71328 91968 142656 355897 711794 1067691 1423588 2135382 2847176 4270764 5694352 8541528 11388704 17083056 22777408 34166112 68332224