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22428747264 = 293721127091
BaseRepresentation
bin10100111000110110…
…111000011000000000
32010220002122102011010
4110320312320120000
5331413224403024
614145325520520
71422543130500
oct247066703000
963802572133
1022428747264
11956a496870
12441b413140
13216591a2b1
14112aaa9a00
158b40beb29
hex538db8600

22428747264 has 240 divisors, whose sum is σ = 75828557376. Its totient is φ = 5825433600.

The previous prime is 22428747259. The next prime is 22428747269. The reversal of 22428747264 is 46274782422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22428747259) and next prime (22428747269).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22428747269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814359 + ... + 841449.

Almost surely, 222428747264 is an apocalyptic number.

22428747264 is a gapful number since it is divisible by the number (24) 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 22428747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914278688).

22428747264 is an abundant number, since it is smaller than the sum of its proper divisors (53399810112).

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

22428747264 is a wasteful number, since it uses less digits than its factorization.

22428747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27137 (or 27114 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 48.

The spelling of 22428747264 in words is "twenty-two billion, four hundred twenty-eight million, seven hundred forty-seven thousand, two hundred sixty-four".