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22235164101 = 325774281757
BaseRepresentation
bin10100101101010100…
…011010110111000101
32010101121101100222100
4110231110122313011
5331014200222401
614114212422313
71415002530213
oct245524326705
963347340870
1022235164101
119480196987
124386617999
13213479b947
14110d0b7cb3
158a20d1b86
hex52d51adc5

22235164101 has 12 divisors (see below), whose sum is σ = 32173129612. Its totient is φ = 14797748736.

The previous prime is 22235164099. The next prime is 22235164109. The reversal of 22235164101 is 10146153222.

22235164101 is a `hidden beast` number, since 2 + 2 + 235 + 16 + 410 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19951280001 + 2283884100 = 141249^2 + 47790^2 .

It is not a de Polignac number, because 22235164101 - 21 = 22235164099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22235164109) 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, 2135686 + ... + 2146071.

Almost surely, 222235164101 is an apocalyptic number.

It is an amenable number.

22235164101 is a deficient number, since it is larger than the sum of its proper divisors (9937965511).

22235164101 is a wasteful number, since it uses less digits than its factorization.

22235164101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282340 (or 4282337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22235164101 in words is "twenty-two billion, two hundred thirty-five million, one hundred sixty-four thousand, one hundred one".

Divisors: 1 3 9 577 1731 5193 4281757 12845271 38535813 2470573789 7411721367 22235164101