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22160211120 = 24335233114389
BaseRepresentation
bin10100101000110110…
…011111110010110000
32010012101100100211000
4110220312133302300
5330341003223440
614102534122000
71413102454335
oct245066376260
963171310730
1022160211120
119441952673
1243654b0300
1321220b7878
14110316698c
1589a728730
hex528d9fcb0

22160211120 has 320 divisors, whose sum is σ = 82223308800. Its totient is φ = 5469742080.

The previous prime is 22160211113. The next prime is 22160211133. The reversal of 22160211120 is 2111206122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22160211093 and 22160211102.

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, 1532886 + ... + 1547274.

It is an arithmetic number, because the mean of its divisors is an integer number (256947840).

Almost surely, 222160211120 is an apocalyptic number.

22160211120 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 22160211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41111654400).

22160211120 is an abundant number, since it is smaller than the sum of its proper divisors (60063097680).

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

22160211120 is a wasteful number, since it uses less digits than its factorization.

22160211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22160211120 its reverse (2111206122), we get a palindrome (24271417242).

The spelling of 22160211120 in words is "twenty-two billion, one hundred sixty million, two hundred eleven thousand, one hundred twenty".