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902023002 = 232433115733
BaseRepresentation
bin110101110000111…
…100011101011010
32022212022111221100
4311300330131122
53321404214002
6225301252230
731232032446
oct6560743532
92285274840
10902023002
11423194261
12212104076
13114b5442a
1487b25826
15542cb11c
hex35c3c75a

902023002 has 24 divisors (see below), whose sum is σ = 1958913684. Its totient is φ = 299977344.

The previous prime is 902022983. The next prime is 902023007. The reversal of 902023002 is 200320209.

It can be written as a sum of positive squares in 2 ways, for example, as 678550401 + 223472601 = 26049^2 + 14949^2 .

It is a super-2 number, since 2×9020230022 = 1627290992274184008, which contains 22 as substring.

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 (902023007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50073 + ... + 65660.

Almost surely, 2902023002 is an apocalyptic number.

902023002 is an abundant number, since it is smaller than the sum of its proper divisors (1056890682).

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

902023002 is a wasteful number, since it uses less digits than its factorization.

902023002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116174 (or 116171 counting only the distinct ones).

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

The square root of 902023002 is about 30033.6977743334. The cubic root of 902023002 is about 966.2122458412.

The spelling of 902023002 in words is "nine hundred two million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 433 866 1299 2598 3897 7794 115733 231466 347199 694398 1041597 2083194 50112389 100224778 150337167 300674334 451011501 902023002