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22208106492 = 22321113312672
BaseRepresentation
bin10100101011101101…
…001100111111111100
32010022201110200220200
4110223231030333330
5330440233401432
614111404443500
71414223535105
oct245355147774
963281420820
1022208106492
119466996120
124379549590
13212bcb7020
1411096733ac
1589ea39a7c
hex52bb4cffc

22208106492 has 324 divisors, whose sum is σ = 69179744088. Its totient is φ = 5921942400.

The previous prime is 22208106449. The next prime is 22208106493. The reversal of 22208106492 is 29460180222.

22208106492 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 8 + 1 + 0 + 649 + 2 = 666.

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 (22208106493) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 331464243 + ... + 331464309.

Almost surely, 222208106492 is an apocalyptic number.

22208106492 is a gapful number since it is divisible by the number (22) 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 22208106492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34589872044).

22208106492 is an abundant number, since it is smaller than the sum of its proper divisors (46971637596).

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

22208106492 is a wasteful number, since it uses less digits than its factorization.

22208106492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22208106492 in words is "twenty-two billion, two hundred eight million, one hundred six thousand, four hundred ninety-two".