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22203095040 = 2113257127271
BaseRepresentation
bin10100101011011010…
…000101100000000000
32010022101001002111100
4110223122011200000
5330432443020130
614111105214400
71414133123340
oct245332054000
963271032440
1022203095040
119464082a25
124377931400
13212ac50c79
141108b2ad20
1589e399c60
hex52b685800

22203095040 has 576 divisors, whose sum is σ = 88964628480. Its totient is φ = 5016453120.

The previous prime is 22203095029. The next prime is 22203095059. The reversal of 22203095040 is 4059030222.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 22203094995 and 22203095013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81930105 + ... + 81930375.

It is an arithmetic number, because the mean of its divisors is an integer number (154452480).

Almost surely, 222203095040 is an apocalyptic number.

22203095040 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 22203095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44482314240).

22203095040 is an abundant number, since it is smaller than the sum of its proper divisors (66761533440).

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

22203095040 is a wasteful number, since it uses less digits than its factorization.

22203095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 22203095040 in words is "twenty-two billion, two hundred three million, ninety-five thousand, forty".