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22341440000 = 2954112577
BaseRepresentation
bin10100110011101001…
…110101001000000000
32010200000100202002202
4110303221311020000
5331223402040000
614132530332332
71420433051405
oct246351651000
963600322082
1022341440000
119525184600
1243b612a0a8
1321507cbba9
14111d2602ac
158ab5c5dd5
hex533a75200

22341440000 has 300 divisors, whose sum is σ = 61419481662. Its totient is φ = 8110080000.

The previous prime is 22341439963. The next prime is 22341440021. The reversal of 22341440000 is 4414322.

It can be written as a sum of positive squares in 5 ways, for example, as 4402587904 + 17938852096 = 66352^2 + 133936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38719712 + ... + 38720288.

Almost surely, 222341440000 is an apocalyptic number.

22341440000 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 22341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709740831).

22341440000 is an abundant number, since it is smaller than the sum of its proper divisors (39078041662).

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

22341440000 is an frugal number, since it uses more digits than its factorization.

22341440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22341440000 its reverse (4414322), we get a palindrome (22345854322).

The spelling of 22341440000 in words is "twenty-two billion, three hundred forty-one million, four hundred forty thousand".