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97922244 = 223717471459
BaseRepresentation
bin1011101011000…
…10110011000100
320211020222001210
411311202303010
5200032002434
613414451420
72266216410
oct565426304
9224228053
1097922244
1150302482
1228963b70
1317396b74
14d00dd40
1588e3ee9
hex5d62cc4

97922244 has 96 divisors (see below), whose sum is σ = 282562560. Its totient is φ = 25754112.

The previous prime is 97922233. The next prime is 97922249. The reversal of 97922244 is 44222979.

It is not an unprimeable number, because it can be changed into a prime (97922249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66387 + ... + 67845.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 297922244 is an apocalyptic number.

97922244 is a gapful number since it is divisible by the number (94) 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 97922244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

97922244 is an abundant number, since it is smaller than the sum of its proper divisors (184640316).

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

97922244 is a wasteful number, since it uses less digits than its factorization.

97922244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1535 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 97922244 is about 9895.5668862375. The cubic root of 97922244 is about 460.9216618800.

The spelling of 97922244 in words is "ninety-seven million, nine hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 47 51 68 84 94 102 119 141 188 204 238 282 329 357 476 564 658 714 799 987 1316 1428 1459 1598 1974 2397 2918 3196 3948 4377 4794 5593 5836 8754 9588 10213 11186 16779 17508 20426 22372 24803 30639 33558 40852 49606 61278 67116 68573 74409 99212 122556 137146 148818 173621 205719 274292 297636 347242 411438 480011 520863 694484 822876 960022 1041726 1165741 1440033 1920044 2083452 2331482 2880066 3497223 4662964 5760132 6994446 8160187 13988892 16320374 24480561 32640748 48961122 97922244