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90223523 = 1321493583
BaseRepresentation
bin1010110000010…
…11001110100011
320021202211101222
411120023032203
5141044123043
612541445255
72143613225
oct530131643
9207684358
1090223523
1146a242a5
122627082b
13158cc900
14bda8415
157dc2d68
hex560b3a3

90223523 has 12 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 82701216.

The previous prime is 90223519. The next prime is 90223537. The reversal of 90223523 is 32532209.

It is not a de Polignac number, because 90223523 - 22 = 90223519 is a prime.

It is a super-3 number, since 3×902235233 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90223492 and 90223501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90223223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23390 + ... + 26972.

It is an arithmetic number, because the mean of its divisors is an integer number (8198400).

Almost surely, 290223523 is an apocalyptic number.

90223523 is a deficient number, since it is larger than the sum of its proper divisors (8157277).

90223523 is a wasteful number, since it uses less digits than its factorization.

90223523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 90223523 is about 9498.6063714631. The cubic root of 90223523 is about 448.5111668437.

The spelling of 90223523 in words is "ninety million, two hundred twenty-three thousand, five hundred twenty-three".

Divisors: 1 13 149 169 1937 3583 25181 46579 533867 605527 6940271 90223523