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90212004 = 223215832
BaseRepresentation
bin1010110000010…
…00011010100100
320021202020121100
411120020122210
5141043241004
612541320100
72143534521
oct530103244
9207666540
1090212004
1146a16683
1226266030
13158c75ac
14bda4148
157dbe739
hex56086a4

90212004 has 27 divisors (see below), whose sum is σ = 228180043. Its totient is φ = 30051672.

The previous prime is 90211993. The next prime is 90212009. The reversal of 90212004 is 40021209.

The square root of 90212004 is 9498.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90212009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56197 + ... + 57779.

Almost surely, 290212004 is an apocalyptic number.

90212004 is the 9498-th square number.

It is an amenable number.

90212004 is an abundant number, since it is smaller than the sum of its proper divisors (137968039).

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

90212004 is a wasteful number, since it uses less digits than its factorization.

90212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 90212004 is about 448.4920786213.

Multiplying 90212004 by its product of nonzero digits (144), we get a square (12990528576 = 1139762).

It can be divided in two parts, 9021 and 2004, that added together give a square (11025 = 1052).

The spelling of 90212004 in words is "ninety million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1583 3166 4749 6332 9498 14247 18996 28494 56988 2505889 5011778 7517667 10023556 15035334 22553001 30070668 45106002 90212004