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22080199680 = 2103257311127
BaseRepresentation
bin10100100100000101…
…010001110000000000
32002222210210100202100
4110210011101300000
5330210012342210
614050555150400
71411111413000
oct244405216000
962883710670
1022080199680
119400773910
124342745400
13210b652216
1410d669a000
158936c15c0
hex524151c00

22080199680 has 1056 divisors, whose sum is σ = 98098790400. Its totient is φ = 4551966720.

The previous prime is 22080199679. The next prime is 22080199723. The reversal of 22080199680 is 8699108022.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173859777 + ... + 173859903.

Almost surely, 222080199680 is an apocalyptic number.

22080199680 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 22080199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49049395200).

22080199680 is an abundant number, since it is smaller than the sum of its proper divisors (76018590720).

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

22080199680 is a wasteful number, since it uses less digits than its factorization.

22080199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 22080199680 in words is "twenty-two billion, eighty million, one hundred ninety-nine thousand, six hundred eighty".