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20222546436 = 223213721732
BaseRepresentation
bin10010110101010110…
…111001001000000100
31221012100021210120100
4102311112321020010
5312403432441221
613142355204100
71314063544221
oct226526711004
957170253510
1020222546436
1186381114a4
123b045a6630
131ba3827411
14d9ba96948
157d557a926
hex4b55b9204

20222546436 has 81 divisors (see below), whose sum is σ = 51793325311. Its totient is φ = 6652965504.

The previous prime is 20222546341. The next prime is 20222546437. The reversal of 20222546436 is 63464522202.

The square root of 20222546436 is 142206.

It is a perfect power (a square), and thus also a powerful number.

20222546436 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 2 + 5 + 4 + 643 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5851332036 + 14371214400 = 76494^2 + 119880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20222546436.

It is not an unprimeable number, because it can be changed into a prime (20222546437) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116893246 + ... + 116893418.

Almost surely, 220222546436 is an apocalyptic number.

20222546436 is the 142206-th square number.

It is an amenable number.

20222546436 is an abundant number, since it is smaller than the sum of its proper divisors (31570778875).

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

20222546436 is a wasteful number, since it uses less digits than its factorization.

20222546436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 20222546436 by its sum of digits (36), we get a square (728011671696 = 8532362).

20222546436 divided by its sum of digits (36) gives a square (561737401 = 237012).

The spelling of 20222546436 in words is "twenty billion, two hundred twenty-two million, five hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 137 173 274 346 411 519 548 692 822 1038 1233 1557 1644 2076 2466 3114 4932 6228 18769 23701 29929 37538 47402 56307 59858 71103 75076 89787 94804 112614 119716 142206 168921 179574 213309 225228 269361 284412 337842 359148 426618 538722 675684 853236 1077444 3247037 4100273 6494074 8200546 9741111 12300819 12988148 16401092 19482222 24601638 29223333 36902457 38964444 49203276 58446666 73804914 116893332 147609828 561737401 1123474802 1685212203 2246949604 3370424406 5055636609 6740848812 10111273218 20222546436