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400102002 = 23222227889
BaseRepresentation
bin10111110110010…
…001001001110010
31000212212021202200
4113312101021302
51304411231002
6103411324030
712625545066
oct2766211162
91025767680
10400102002
11195935613
12b1bb0616
1364b78b61
143b1cdaa6
15251d3b1c
hex17d91272

400102002 has 12 divisors (see below), whose sum is σ = 866887710. Its totient is φ = 133367328.

The previous prime is 400101967. The next prime is 400102007. The reversal of 400102002 is 200201004.

It can be written as a sum of positive squares in only one way, i.e., 400040001 + 62001 = 20001^2 + 249^2 .

It is a super-2 number, since 2×4001020022 = 320163224008816008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (400102007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11113927 + ... + 11113962.

Almost surely, 2400102002 is an apocalyptic number.

400102002 is an abundant number, since it is smaller than the sum of its proper divisors (466785708).

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

400102002 is a wasteful number, since it uses less digits than its factorization.

400102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22227897 (or 22227894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 400102002 is about 20002.5498874518. The cubic root of 400102002 is about 736.8689241687.

Adding to 400102002 its reverse (200201004), we get a palindrome (600303006).

The spelling of 400102002 in words is "four hundred million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 22227889 44455778 66683667 133367334 200051001 400102002