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22144001440 = 25511171938953
BaseRepresentation
bin10100100111111000…
…101010010110100000
32010011020211211022111
4110213320222112200
5330322331021230
614101154445104
71412514622651
oct244770522640
963136754274
1022144001440
119433791040
12435bb93794
13211b930742
141100d47528
158990c592a
hex527e2a5a0

22144001440 has 192 divisors, whose sum is σ = 63610323840. Its totient is φ = 7179632640.

The previous prime is 22144001431. The next prime is 22144001441. The reversal of 22144001440 is 4410044122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22144001441) 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, 549004 + ... + 587956.

It is an arithmetic number, because the mean of its divisors is an integer number (331303770).

Almost surely, 222144001440 is an apocalyptic number.

22144001440 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 22144001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31805161920).

22144001440 is an abundant number, since it is smaller than the sum of its proper divisors (41466322400).

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

22144001440 is a wasteful number, since it uses less digits than its factorization.

22144001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39015 (or 39007 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22144001440 its reverse (4410044122), we get a palindrome (26554045562).

The spelling of 22144001440 in words is "twenty-two billion, one hundred forty-four million, one thousand, four hundred forty".