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97228320 = 25357191523
BaseRepresentation
bin1011100101110…
…01011000100000
320202221201011220
411302321120200
5144342301240
613351535040
72260266330
oct562713040
9222851156
1097228320
114a979092
122868a480
13171b3067
14ccad0c0
1588085d0
hex5cb9620

97228320 has 192 divisors, whose sum is σ = 368686080. Its totient is φ = 21040128.

The previous prime is 97228319. The next prime is 97228333. The reversal of 97228320 is 2382279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63079 + ... + 64601.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 297228320 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 97228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

97228320 is an abundant number, since it is smaller than the sum of its proper divisors (271457760).

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

97228320 is a wasteful number, since it uses less digits than its factorization.

97228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 97228320 is about 9860.4421807544. The cubic root of 97228320 is about 459.8303091806.

It can be divided in two parts, 972 and 28320, that added together give a palindrome (29292).

The spelling of 97228320 in words is "ninety-seven million, two hundred twenty-eight thousand, three hundred twenty".