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20220432408 = 233511945587
BaseRepresentation
bin10010110101001110…
…110101000000011000
31221012012022101200000
4102311032311000120
5312402412314113
613142242013000
71314036560661
oct226516650030
957165271600
1020220432408
1186369a8170
123b03947160
131ba3267107
14d9b6a6368
157d52ae373
hex4b53b5018

20220432408 has 96 divisors (see below), whose sum is σ = 61954925760. Its totient is φ = 6127397280.

The previous prime is 20220432373. The next prime is 20220432409. The reversal of 20220432408 is 80423402202.

20220432408 is a `hidden beast` number, since 2 + 0 + 220 + 4 + 32 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220432409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451410 + ... + 494177.

It is an arithmetic number, because the mean of its divisors is an integer number (645363810).

Almost surely, 220220432408 is an apocalyptic number.

It is an amenable number.

20220432408 is an abundant number, since it is smaller than the sum of its proper divisors (41734493352).

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

20220432408 is a wasteful number, since it uses less digits than its factorization.

20220432408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945619 (or 945603 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 20220432408 in words is "twenty billion, two hundred twenty million, four hundred thirty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 945587 1891174 2836761 3782348 5673522 7564696 8510283 10401457 11347044 17020566 20802914 22694088 25530849 31204371 34041132 41605828 51061698 62408742 68082264 76592547 83211656 93613113 102123396 124817484 153185094 187226226 204246792 229777641 249634968 280839339 306370188 374452452 459555282 561678678 612740376 748904904 842518017 919110564 1123357356 1685036034 1838221128 2246714712 2527554051 3370072068 5055108102 6740144136 10110216204 20220432408