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20224464663460 = 22517314094148489
BaseRepresentation
bin1001001100100111000000…
…00010000011001110100100
32122121102212201022212021211
410212103200002003032210
510122324200423212320
6111002554002521204
74155112042130221
oct446234002031644
978542781285254
1020224464663460
116498169062a72
122327778366204
13b3920ac61325
144dcc25572948
15251140ed455a
hex1264e00833a4

20224464663460 has 48 divisors (see below), whose sum is σ = 42747202537200. Its totient is φ = 8037313839104.

The previous prime is 20224464663451. The next prime is 20224464663461. The reversal of 20224464663460 is 6436646442202.

It can be written as a sum of positive squares in 8 ways, for example, as 4443056916736 + 15781407746724 = 2107856^2 + 3972582^2 .

It is a super-2 number, since 2×202244646634602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20224464663461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2800896 + ... + 6949384.

It is an arithmetic number, because the mean of its divisors is an integer number (890566719525).

Almost surely, 220224464663460 is an apocalyptic number.

20224464663460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224464663460 is an abundant number, since it is smaller than the sum of its proper divisors (22522737873740).

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

20224464663460 is a wasteful number, since it uses less digits than its factorization.

20224464663460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150080 (or 4150078 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 49.

The spelling of 20224464663460 in words is "twenty trillion, two hundred twenty-four billion, four hundred sixty-four million, six hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1409 1730 2818 3460 5636 7045 14090 28180 243757 487514 975028 1218785 2437570 4148489 4875140 8296978 16593956 20742445 41484890 82969780 717688597 1435377194 2870754388 3588442985 5845221001 7176885970 11690442002 14353771940 23380884004 29226105005 58452210010 116904420020 1011223233173 2022446466346 4044892932692 5056116165865 10112232331730 20224464663460