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402210012 = 223195233373
BaseRepresentation
bin10111111110010…
…011110011011100
31001000211101102010
4113332103303130
51310431210022
6103524431220
712652504641
oct2776236334
91030741363
10402210012
11197045376
12b2848510
13654364b9
143b5bbdc8
152549d50c
hex17f93cdc

402210012 has 48 divisors (see below), whose sum is σ = 990066560. Its totient is φ = 126733248.

The previous prime is 402209989. The next prime is 402210013. The reversal of 402210012 is 210012204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 402210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402210013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117558 + ... + 120930.

Almost surely, 2402210012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495033280).

402210012 is an abundant number, since it is smaller than the sum of its proper divisors (587856548).

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

402210012 is a wasteful number, since it uses less digits than its factorization.

402210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 402210012 is about 20055.1741952046. The cubic root of 402210012 is about 738.1607672612.

Adding to 402210012 its reverse (210012204), we get a palindrome (612222216).

The spelling of 402210012 in words is "four hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 523 1046 1569 2092 3138 3373 6276 6746 9937 10119 13492 19874 20238 29811 39748 40476 59622 64087 119244 128174 192261 256348 384522 769044 1764079 3528158 5292237 7056316 10584474 21168948 33517501 67035002 100552503 134070004 201105006 402210012