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97390216 = 23711374273
BaseRepresentation
bin1011100111000…
…00111010001000
320210020221021001
411303200322020
5144412441331
613355224344
72261542330
oct563407210
9223227231
1097390216
114aa79790
12287480b4
131723b961
14cd120c0
15883b561
hex5ce0e88

97390216 has 64 divisors (see below), whose sum is σ = 233873280. Its totient is φ = 36910080.

The previous prime is 97390213. The next prime is 97390243. The reversal of 97390216 is 61209379.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (97390213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20656 + ... + 24928.

It is an arithmetic number, because the mean of its divisors is an integer number (3654270).

Almost surely, 297390216 is an apocalyptic number.

97390216 is the 5698-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97390216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116936640).

97390216 is an abundant number, since it is smaller than the sum of its proper divisors (136483064).

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

97390216 is a wasteful number, since it uses less digits than its factorization.

97390216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 97390216 is about 9868.6481343698. The cubic root of 97390216 is about 460.0853905750.

The spelling of 97390216 in words is "ninety-seven million, three hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 4273 5698 8546 11396 17092 22792 29911 34184 47003 59822 94006 119644 158101 188012 239288 316202 329021 376024 632404 658042 1106707 1264808 1316084 1739111 2213414 2632168 3478222 4426828 6956444 8853656 12173777 13912888 24347554 48695108 97390216