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22244101440 = 26351116312923
BaseRepresentation
bin10100101101110110…
…100000110101000000
32010102020012102200220
4110231312200311000
5331023442221230
614115132143040
71415141512461
oct245566406500
963366172626
1022244101440
119485240710
124389607a80
1321365aa902
141110362d68
158a2c99d10
hex52dda0d40

22244101440 has 224 divisors, whose sum is σ = 77524148736. Its totient is φ = 5359011840.

The previous prime is 22244101427. The next prime is 22244101459. The reversal of 22244101440 is 4410144222.

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 22244101440.

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, 1714819 + ... + 1727741.

Almost surely, 222244101440 is an apocalyptic number.

22244101440 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 22244101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38762074368).

22244101440 is an abundant number, since it is smaller than the sum of its proper divisors (55280047296).

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

22244101440 is a wasteful number, since it uses less digits than its factorization.

22244101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13117 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22244101440 its reverse (4410144222), we get a palindrome (26654245662).

The spelling of 22244101440 in words is "twenty-two billion, two hundred forty-four million, one hundred one thousand, four hundred forty".