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90032202 = 23313277463
BaseRepresentation
bin1010101110111…
…00100001001010
320021102002222000
411113130201022
5141022012302
612533411430
72142155361
oct527344112
9207362860
1090032202
1146903587
1226199b76
13158637c0
14bd587d8
157d8631c
hex55dc84a

90032202 has 64 divisors (see below), whose sum is σ = 216706560. Its totient is φ = 27542592.

The previous prime is 90032179. The next prime is 90032209. The reversal of 90032202 is 20223009.

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

It is not an unprimeable number, because it can be changed into a prime (90032209) 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 31 ways as a sum of consecutive naturals, for example, 194223 + ... + 194685.

It is an arithmetic number, because the mean of its divisors is an integer number (3386040).

Almost surely, 290032202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90032202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108353280).

90032202 is an abundant number, since it is smaller than the sum of its proper divisors (126674358).

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

90032202 is a wasteful number, since it uses less digits than its factorization.

90032202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

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

The square root of 90032202 is about 9488.5300231385. The cubic root of 90032202 is about 448.1939165030.

The spelling of 90032202 in words is "ninety million, thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 277 351 463 554 702 831 926 1389 1662 2493 2778 3601 4167 4986 6019 7202 7479 8334 10803 12038 12501 14958 18057 21606 25002 32409 36114 54171 64818 97227 108342 128251 162513 194454 256502 325026 384753 769506 1154259 1667263 2308518 3334526 3462777 5001789 6925554 10003578 15005367 30010734 45016101 90032202