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68225664 = 2731379173
BaseRepresentation
bin1000001000100…
…00101010000000
311202101020000110
410010100222000
5114431210124
610434151320
71455623433
oct404205200
9152336013
1068225664
1135569a51
121aa22540
131119a020
1490bd81a
155eca029
hex4110a80

68225664 has 128 divisors (see below), whose sum is σ = 198777600. Its totient is φ = 20606976.

The previous prime is 68225639. The next prime is 68225683. The reversal of 68225664 is 46652286.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (138240) is a multiple of the sum of its prime divisors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394282 + ... + 394454.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 268225664 is an apocalyptic number.

68225664 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 68225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99388800).

68225664 is an abundant number, since it is smaller than the sum of its proper divisors (130551936).

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

68225664 is a wasteful number, since it uses less digits than its factorization.

68225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 68225664 is about 8259.8828078854. The cubic root of 68225664 is about 408.6165227375.

The spelling of 68225664 in words is "sixty-eight million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 173 192 208 237 312 316 346 384 416 474 519 624 632 692 832 948 1027 1038 1248 1264 1384 1664 1896 2054 2076 2249 2496 2528 2768 3081 3792 4108 4152 4498 4992 5056 5536 6162 6747 7584 8216 8304 8996 10112 11072 12324 13494 13667 15168 16432 16608 17992 22144 24648 26988 27334 30336 32864 33216 35984 41001 49296 53976 54668 65728 66432 71968 82002 98592 107952 109336 131456 143936 164004 177671 197184 215904 218672 287872 328008 355342 394368 431808 437344 533013 656016 710684 863616 874688 1066026 1312032 1421368 1749376 2132052 2624064 2842736 4264104 5248128 5685472 8528208 11370944 17056416 22741888 34112832 68225664