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90022032 = 24322921557
BaseRepresentation
bin1010101110110…
…10000010010000
320021101121000100
411113122002100
5141021201112
612533252400
72142113622
oct527320220
9207347010
1090022032
11468a6981
1226194100
131585bc99
14bd54c12
157d832dc
hex55da090

90022032 has 60 divisors (see below), whose sum is σ = 260636220. Its totient is φ = 28971264.

The previous prime is 90022013. The next prime is 90022039. The reversal of 90022032 is 23022009.

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 64256256 = 5076^2 + 8016^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90021996 and 90022014.

It is not an unprimeable number, because it can be changed into a prime (90022039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6603 + ... + 14954.

It is an arithmetic number, because the mean of its divisors is an integer number (4343937).

Almost surely, 290022032 is an apocalyptic number.

It is an amenable number.

90022032 is an abundant number, since it is smaller than the sum of its proper divisors (170614188).

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

90022032 is a wasteful number, since it uses less digits than its factorization.

90022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21591 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90022032 is about 9487.9940978059. The cubic root of 90022032 is about 448.1770399349.

The spelling of 90022032 in words is "ninety million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 21557 43114 64671 86228 129342 172456 194013 258684 344912 388026 517368 625153 776052 1034736 1250306 1552104 1875459 2500612 3104208 3750918 5001224 5626377 7501836 10002448 11252754 15003672 22505508 30007344 45011016 90022032