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22021332120 = 23325192295843
BaseRepresentation
bin10100100000100100…
…101101110010011000
32002211201000120122100
4110200210231302120
5330044430111440
614041053323400
71406465143314
oct244044556230
962751016570
1022021332120
119380516837
124326a96560
1320cc3b0848
1410cc934b44
1588d444230
hex52092dc98

22021332120 has 288 divisors, whose sum is σ = 78152396400. Its totient is φ = 5370527232.

The previous prime is 22021332079. The next prime is 22021332121. The reversal of 22021332120 is 2123312022.

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 = 22021332093 and 22021332102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021332121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3765919 + ... + 3771761.

Almost surely, 222021332120 is an apocalyptic number.

22021332120 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 22021332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39076198200).

22021332120 is an abundant number, since it is smaller than the sum of its proper divisors (56131064280).

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

22021332120 is a wasteful number, since it uses less digits than its factorization.

22021332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22021332120 its reverse (2123312022), we get a palindrome (24144644142).

The spelling of 22021332120 in words is "twenty-two billion, twenty-one million, three hundred thirty-two thousand, one hundred twenty".