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20221916193 = 333135414423
BaseRepresentation
bin10010110101010100…
…011111010000100001
31221012022002210001000
4102311110133100201
5312403302304233
613142333502213
71314055310613
oct226524372041
957168083030
1020221916193
118637820a36
123b04341969
131ba36665ab
14d9b970db3
157d54a3d13
hex4b551f421

20221916193 has 32 divisors (see below), whose sum is σ = 30116468480. Its totient is φ = 13410334080.

The previous prime is 20221916179. The next prime is 20221916213. The reversal of 20221916193 is 39161912202.

20221916193 is a `hidden beast` number, since 2 + 0 + 22 + 19 + 1 + 619 + 3 = 666.

It is not a de Polignac number, because 20221916193 - 28 = 20221915937 is a prime.

It is a super-2 number, since 2×202219161932 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20221916093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4569780 + ... + 4574202.

It is an arithmetic number, because the mean of its divisors is an integer number (941139640).

Almost surely, 220221916193 is an apocalyptic number.

It is an amenable number.

20221916193 is a deficient number, since it is larger than the sum of its proper divisors (9894552287).

20221916193 is a wasteful number, since it uses less digits than its factorization.

20221916193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 20221916193 in words is "twenty billion, two hundred twenty-one million, nine hundred sixteen thousand, one hundred ninety-three".

Divisors: 1 3 9 27 313 541 939 1623 2817 4423 4869 8451 13269 14607 39807 119421 169333 507999 1384399 1523997 2392843 4153197 4571991 7178529 12459591 21535587 37378773 64606761 748959859 2246879577 6740638731 20221916193