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97322568 = 23372389283
BaseRepresentation
bin1011100110100…
…00011001001000
320210010111110120
411303100121020
5144403310233
613353543240
72261141160
oct563203110
9223114416
1097322568
114aa32982
1228714b20
1317216c25
14ccd55a0
1588264b3
hex5cd0648

97322568 has 128 divisors (see below), whose sum is σ = 294451200. Its totient is φ = 26205696.

The previous prime is 97322539. The next prime is 97322581. The reversal of 97322568 is 86522379.

It is a super-2 number, since 2×973225682 = 18943364484229248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343755 + ... + 344037.

It is an arithmetic number, because the mean of its divisors is an integer number (2300400).

Almost surely, 297322568 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 97322568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147225600).

97322568 is an abundant number, since it is smaller than the sum of its proper divisors (197128632).

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

97322568 is a wasteful number, since it uses less digits than its factorization.

97322568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 97322568 is about 9865.2201191864. The cubic root of 97322568 is about 459.9788396063.

The spelling of 97322568 in words is "ninety-seven million, three hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 89 92 138 161 168 178 184 267 276 283 322 356 483 534 552 566 623 644 712 849 966 1068 1132 1246 1288 1698 1869 1932 1981 2047 2136 2264 2492 3396 3738 3864 3962 4094 4984 5943 6141 6509 6792 7476 7924 8188 11886 12282 13018 14329 14952 15848 16376 19527 23772 24564 25187 26036 28658 39054 42987 45563 47544 49128 50374 52072 57316 75561 78108 85974 91126 100748 114632 136689 151122 156216 171948 176309 182252 201496 273378 302244 343896 352618 364504 528927 546756 579301 604488 705236 1057854 1093512 1158602 1410472 1737903 2115708 2317204 3475806 4055107 4231416 4634408 6951612 8110214 12165321 13903224 16220428 24330642 32440856 48661284 97322568