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10404401220 = 2232557802229
BaseRepresentation
bin10011011000010011…
…01001000001000100
3222212002201100022100
421230021221001010
5132302011314340
64440230232100
7515554644153
oct115411510104
928762640270
1010404401220
11445a0166a4
1220244b5630
13c9a710135
14709b5159a
1540d640830
hex26c269044

10404401220 has 36 divisors (see below), whose sum is σ = 31560017580. Its totient is φ = 2774506944.

The previous prime is 10404401207. The next prime is 10404401237. The reversal of 10404401220 is 2210440401.

10404401220 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 440 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4330692864 + 6073708356 = 65808^2 + 77934^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10404401193 and 10404401202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28900935 + ... + 28901294.

It is an arithmetic number, because the mean of its divisors is an integer number (876667155).

Almost surely, 210404401220 is an apocalyptic number.

10404401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404401220 is an abundant number, since it is smaller than the sum of its proper divisors (21155616360).

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

10404401220 is a wasteful number, since it uses less digits than its factorization.

10404401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57802244 (or 57802239 counting only the distinct ones).

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

Adding to 10404401220 its reverse (2210440401), we get a palindrome (12614841621).

The spelling of 10404401220 in words is "ten billion, four hundred four million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57802229 115604458 173406687 231208916 289011145 346813374 520220061 578022290 693626748 867033435 1040440122 1156044580 1734066870 2080880244 2601100305 3468133740 5202200610 10404401220