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68356224 = 273419347
BaseRepresentation
bin1000001001100…
…00100010000000
311202121212010000
410010300202000
5114444344344
610441040000
71460006166
oct404604200
9152555100
1068356224
1135649052
121aa86000
1311214591
149115236
156003a69
hex4130880

68356224 has 160 divisors (see below), whose sum is σ = 214750800. Its totient is φ = 21523968.

The previous prime is 68356217. The next prime is 68356231. The reversal of 68356224 is 42265386.

It is an interprime number because it is at equal distance from previous prime (68356217) and next prime (68356231).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196819 + ... + 197165.

Almost surely, 268356224 is an apocalyptic number.

68356224 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 68356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107375400).

68356224 is an abundant number, since it is smaller than the sum of its proper divisors (146394576).

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

68356224 is a wasteful number, since it uses less digits than its factorization.

68356224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 68356224 is about 8267.7822903122. The cubic root of 68356224 is about 408.8770062359.

The spelling of 68356224 in words is "sixty-eight million, three hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 347 384 432 456 513 576 608 648 684 694 864 912 1026 1041 1152 1216 1296 1368 1388 1539 1728 1824 2052 2082 2432 2592 2736 2776 3078 3123 3456 3648 4104 4164 5184 5472 5552 6156 6246 6593 7296 8208 8328 9369 10368 10944 11104 12312 12492 13186 16416 16656 18738 19779 21888 22208 24624 24984 26372 28107 32832 33312 37476 39558 44416 49248 49968 52744 56214 59337 65664 66624 74952 79116 98496 99936 105488 112428 118674 133248 149904 158232 178011 196992 199872 210976 224856 237348 299808 316464 356022 399744 421952 449712 474696 534033 599616 632928 712044 843904 899424 949392 1068066 1199232 1265856 1424088 1798848 1898784 2136132 2531712 2848176 3597696 3797568 4272264 5696352 7595136 8544528 11392704 17089056 22785408 34178112 68356224