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897122304 = 21634132
BaseRepresentation
bin110101011110010…
…000000000000000
32022112002112110000
4311132100000000
53314130403204
6225004240000
731142261631
oct6536200000
92275075400
10897122304
114204472a1
12210540000
13113b29900
148720b888
1553b5e039
hex35790000

897122304 has 255 divisors, whose sum is σ = 2902305153. Its totient is φ = 276037632.

The previous prime is 897122273. The next prime is 897122309. The reversal of 897122304 is 403221798.

The square root of 897122304 is 29952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 764411904 = 11520^2 + 27648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (897122309) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 69009402 + ... + 69009414.

Almost surely, 2897122304 is an apocalyptic number.

897122304 is the 29952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897122304

897122304 is an abundant number, since it is smaller than the sum of its proper divisors (2005182849).

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

897122304 is an frugal number, since it uses more digits than its factorization.

897122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 18 counting only the distinct ones).

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

The cubic root of 897122304 is about 964.4592544385.

Multiplying 897122304 by its sum of digits (36), we get a square (32296402944 = 1797122).

897122304 divided by its sum of digits (36) gives a square (24920064 = 49922).

It can be divided in two parts, 897 and 122304, that added together give a square (123201 = 3512).

The spelling of 897122304 in words is "eight hundred ninety-seven million, one hundred twenty-two thousand, three hundred four".