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20225555424 = 2532101695323
BaseRepresentation
bin10010110101100010…
…010111101111100000
31221012112221200010100
4102311202113233200
5312410220233144
613142543502400
71314131245614
oct226542275740
957175850110
1020225555424
118639887168
123b055b7a00
131ba433bb99
14d9c23b344
157d5972269
hex4b5897be0

20225555424 has 72 divisors (see below), whose sum is σ = 58085976312. Its totient is φ = 6675091200.

The previous prime is 20225555417. The next prime is 20225555429. The reversal of 20225555424 is 42455552202.

20225555424 is a `hidden beast` number, since 2 + 0 + 225 + 5 + 5 + 5 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225555429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318574 + ... + 376749.

It is an arithmetic number, because the mean of its divisors is an integer number (806749671).

Almost surely, 220225555424 is an apocalyptic number.

20225555424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20225555424 is an abundant number, since it is smaller than the sum of its proper divisors (37860420888).

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

20225555424 is a wasteful number, since it uses less digits than its factorization.

20225555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695440 (or 695429 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 20225555424 in words is "twenty billion, two hundred twenty-five million, five hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 695323 1390646 2085969 2781292 4171938 5562584 6257907 8343876 11125168 12515814 16687752 22250336 25031628 33375504 50063256 66751008 70227623 100126512 140455246 200253024 210682869 280910492 421365738 561820984 632048607 842731476 1123641968 1264097214 1685462952 2247283936 2528194428 3370925904 5056388856 6741851808 10112777712 20225555424