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22000132960 = 2551323577797
BaseRepresentation
bin10100011111010011…
…110110001101100000
32002210020010112212021
4110133103312031200
5330024013223320
614035015111224
71406120021221
oct243723661540
962706115767
1022000132960
11936a557573
12431b972514
1320c7b9a670
1410c9bb7248
1588b657daa
hex51f4f6360

22000132960 has 192 divisors, whose sum is σ = 58581677952. Its totient is φ = 7746748416.

The previous prime is 22000132943. The next prime is 22000132961. The reversal of 22000132960 is 6923100022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000132961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27603282 + ... + 27604078.

It is an arithmetic number, because the mean of its divisors is an integer number (305112906).

Almost surely, 222000132960 is an apocalyptic number.

22000132960 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 22000132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290838976).

22000132960 is an abundant number, since it is smaller than the sum of its proper divisors (36581544992).

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

22000132960 is a wasteful number, since it uses less digits than its factorization.

22000132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 22000132960 its reverse (6923100022), we get a palindrome (28923232982).

The spelling of 22000132960 in words is "twenty-two billion, one hundred thirty-two thousand, nine hundred sixty".