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97292216 = 23729139431
BaseRepresentation
bin1011100110010…
…00111110111000
320210001221211102
411303020332320
5144401322331
613353150532
72260653530
oct563107670
9223057742
1097292216
114aa1209a
12286bb448
1317206178
14ccc84c0
15881c4cb
hex5cc8fb8

97292216 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 39876480.

The previous prime is 97292197. The next prime is 97292227. The reversal of 97292216 is 61229279.

It is a self number, because there is not a number n which added to its sum of digits gives 97292216.

It is a congruent number.

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, 225521 + ... + 225951.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 297292216 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 97292216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

97292216 is an abundant number, since it is smaller than the sum of its proper divisors (120435784).

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

97292216 is a wasteful number, since it uses less digits than its factorization.

97292216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 97292216 is about 9863.6816655851. The cubic root of 97292216 is about 459.9310167507.

The spelling of 97292216 in words is "ninety-seven million, two hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 139 203 232 278 406 431 556 812 862 973 1112 1624 1724 1946 3017 3448 3892 4031 6034 7784 8062 12068 12499 16124 24136 24998 28217 32248 49996 56434 59909 87493 99992 112868 119818 174986 225736 239636 349972 419363 479272 699944 838726 1677452 1737361 3354904 3474722 6949444 12161527 13898888 24323054 48646108 97292216