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20220572160 = 293351989173
BaseRepresentation
bin10010110101001111…
…010111001000000000
31221012012120111101000
4102311033113020000
5312402431302120
613142245012000
71314041012265
oct226517271000
957165514330
1020220572160
118636a93168
123b039b4000
131ba32b58c9
14d9b70126c
157d52da990
hex4b53d7200

20220572160 has 640 divisors, whose sum is σ = 76896864000. Its totient is φ = 5021761536.

The previous prime is 20220572131. The next prime is 20220572201. The reversal of 20220572160 is 6127502202.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116881834 + ... + 116882006.

It is an arithmetic number, because the mean of its divisors is an integer number (120151350).

Almost surely, 220220572160 is an apocalyptic number.

20220572160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38448432000).

20220572160 is an abundant number, since it is smaller than the sum of its proper divisors (56676291840).

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

20220572160 is a wasteful number, since it uses less digits than its factorization.

20220572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20220572160 in words is "twenty billion, two hundred twenty million, five hundred seventy-two thousand, one hundred sixty".