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90022144 = 285932
BaseRepresentation
bin1010101110110…
…10000100000000
320021101121011111
411113122010000
5141021202034
612533253104
72142114142
oct527320400
9207347144
1090022144
11468a6a73
1226194194
131585c054
14bd54c92
157d83364
hex55da100

90022144 has 27 divisors (see below), whose sum is σ = 179996173. Its totient is φ = 44935168.

The previous prime is 90022139. The next prime is 90022169. The reversal of 90022144 is 44122009.

The square root of 90022144 is 9488.

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., 55353600 + 34668544 = 7440^2 + 5888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 151512 + ... + 152104.

Almost surely, 290022144 is an apocalyptic number.

90022144 is the 9488-th square number.

It is an amenable number.

90022144 is a deficient number, since it is larger than the sum of its proper divisors (89974029).

90022144 is an frugal number, since it uses more digits than its factorization.

90022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 90022144 is about 448.1772257998.

Multiplying 90022144 by its product of nonzero digits (576), we get a square (51852754944 = 2277122).

The spelling of 90022144 in words is "ninety million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 593 1186 2372 4744 9488 18976 37952 75904 151808 351649 703298 1406596 2813192 5626384 11252768 22505536 45011072 90022144