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22144230240 = 25351125716319
BaseRepresentation
bin10100100111111001…
…100010001101100000
32010011021021110011120
4110213321202031200
5330322410331430
614101203412240
71412516565006
oct244771421540
963137243146
1022144230240
119433927a30
124360084080
13211b9b0922
141100da6a76
1589911d610
hex527e62360

22144230240 has 192 divisors, whose sum is σ = 76396400640. Its totient is φ = 5347082240.

The previous prime is 22144230239. The next prime is 22144230271. The reversal of 22144230240 is 4203244122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22144230240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348801 + ... + 1365119.

It is an arithmetic number, because the mean of its divisors is an integer number (397897920).

Almost surely, 222144230240 is an apocalyptic number.

22144230240 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 22144230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38198200320).

22144230240 is an abundant number, since it is smaller than the sum of its proper divisors (54252170400).

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

22144230240 is a wasteful number, since it uses less digits than its factorization.

22144230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16605 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22144230240 its reverse (4203244122), we get a palindrome (26347474362).

The spelling of 22144230240 in words is "twenty-two billion, one hundred forty-four million, two hundred thirty thousand, two hundred forty".