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97422160 = 24511149743
BaseRepresentation
bin1011100111010…
…00101101010000
320210022120002011
411303220231100
5144420002120
613400032304
72262034423
oct563505520
9223276064
1097422160
114aaa0790
1228762694
1317250364
14cd1d9ba
158845c5a
hex5ce8b50

97422160 has 80 divisors (see below), whose sum is σ = 249091200. Its totient is φ = 35141120.

The previous prime is 97422151. The next prime is 97422161. The reversal of 97422160 is 6122479.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97422161) 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 15 ways as a sum of consecutive naturals, for example, 130749 + ... + 131491.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 297422160 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 97422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

97422160 is an abundant number, since it is smaller than the sum of its proper divisors (151669040).

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

97422160 is a wasteful number, since it uses less digits than its factorization.

97422160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 97422160 is about 9870.2664604356. The cubic root of 97422160 is about 460.1356877601.

The spelling of 97422160 in words is "ninety-seven million, four hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 743 745 880 1192 1486 1490 1639 2384 2972 2980 3278 3715 5944 5960 6556 7430 8173 8195 11888 11920 13112 14860 16346 16390 26224 29720 32692 32780 40865 59440 65384 65560 81730 110707 130768 131120 163460 221414 326920 442828 553535 653840 885656 1107070 1217777 1771312 2214140 2435554 4428280 4871108 6088885 8856560 9742216 12177770 19484432 24355540 48711080 97422160