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97268220 = 2232571719239
BaseRepresentation
bin1011100110000…
…11000111111100
320210000201220200
411303003013330
5144400040340
613352443500
72260523550
oct563030774
9223021820
1097268220
114a9a6065
12286a9590
13171c827a
14ccbd860
158815330
hex5cc31fc

97268220 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 19740672.

The previous prime is 97268209. The next prime is 97268263. The reversal of 97268220 is 2286279.

It is a super-2 number, since 2×972682202 = 18922213243936800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406861 + ... + 407099.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 297268220 is an apocalyptic number.

97268220 is a gapful number since it is divisible by the number (90) 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 97268220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

97268220 is an abundant number, since it is smaller than the sum of its proper divisors (280126980).

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

97268220 is a wasteful number, since it uses less digits than its factorization.

97268220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97268220 is about 9862.4652090641. The cubic root of 97268220 is about 459.8932014194.

The spelling of 97268220 in words is "ninety-seven million, two hundred sixty-eight thousand, two hundred twenty".