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21220414002 = 2328913246201
BaseRepresentation
bin10011110000110101…
…011101001000110010
32000202212221201112100
4103300311131020302
5321424411222002
613425403041230
71350601354134
oct236065351062
960685851470
1021220414002
118aaa409137
124142810216
132002498ab8
14105440b054
15842e8a11c
hex4f0d5d232

21220414002 has 24 divisors (see below), whose sum is σ = 46494169020. Its totient is φ = 6993993600.

The previous prime is 21220413859. The next prime is 21220414027. The reversal of 21220414002 is 20041402212.

21220414002 is a `hidden beast` number, since 2 + 1 + 220 + 41 + 400 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16786052721 + 4434361281 = 129561^2 + 66591^2 .

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

It is an unprimeable number.

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, 6621499 + ... + 6624702.

Almost surely, 221220414002 is an apocalyptic number.

21220414002 is an abundant number, since it is smaller than the sum of its proper divisors (25273755018).

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

21220414002 is a wasteful number, since it uses less digits than its factorization.

21220414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246298 (or 13246295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21220414002 its reverse (20041402212), we get a palindrome (41261816214).

The spelling of 21220414002 in words is "twenty-one billion, two hundred twenty million, four hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 13246201 26492402 39738603 79477206 119215809 238431618 1178911889 2357823778 3536735667 7073471334 10610207001 21220414002