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22160061000 = 23345371121719
BaseRepresentation
bin10100101000110101…
…111011001001001000
32010012101001201220000
4110220311323021020
5330340433423000
614102531003000
71413101260560
oct245065731110
963171051800
1022160061000
11944185a900
124365439460
13212206443c
141103127da0
1589a6e9000
hex528d7b248

22160061000 has 1920 divisors, whose sum is σ = 108453945600. Its totient is φ = 4105728000.

The previous prime is 22160060977. The next prime is 22160061023. The reversal of 22160061000 is 16006122.

It is a happy number.

22160061000 is a `hidden beast` number, since 2 + 2 + 1 + 600 + 61 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22160060977) and next prime (22160061023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1166318991 + ... + 1166319009.

It is an arithmetic number, because the mean of its divisors is an integer number (56486430).

Almost surely, 222160061000 is an apocalyptic number.

22160061000 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 22160061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54226972800).

22160061000 is an abundant number, since it is smaller than the sum of its proper divisors (86293884600).

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

22160061000 is a wasteful number, since it uses less digits than its factorization.

22160061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22160061000 its reverse (16006122), we get a palindrome (22176067122).

The spelling of 22160061000 in words is "twenty-two billion, one hundred sixty million, sixty-one thousand".