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22135680000 = 2103454761
BaseRepresentation
bin10100100111011000…
…111010110000000000
32010010200012001110000
4110213120322300000
5330313213230000
614100300240000
71412354114130
oct244730726000
963120161400
1022135680000
11942a018015
124359240000
132119ca8c05
1410ddbbcac0
158984d0000
hex52763ac00

22135680000 has 1100 divisors, whose sum is σ = 95947999312. Its totient is φ = 4976640000.

The previous prime is 22135679971. The next prime is 22135680001. The reversal of 22135680000 is 8653122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22135680001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362879970 + ... + 362880030.

Almost surely, 222135680000 is an apocalyptic number.

22135680000 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 22135680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973999656).

22135680000 is an abundant number, since it is smaller than the sum of its proper divisors (73812319312).

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

22135680000 is an frugal number, since it uses more digits than its factorization.

22135680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22135680000 in words is "twenty-two billion, one hundred thirty-five million, six hundred eighty thousand".