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22428493824 = 2113112811181
BaseRepresentation
bin10100111000110101…
…111010100000000000
32010220002011112111110
4110320311322200000
5331413143300244
614145320243320
71422541023552
oct247065724000
963802145443
1022428493824
11956a333410
12441b310540
13216585bb29
14112aa414d2
158b406e9b9
hex538d7a800

22428493824 has 192 divisors, whose sum is σ = 65518165440. Its totient is φ = 6766592000.

The previous prime is 22428493823. The next prime is 22428493933. The reversal of 22428493824 is 42839482422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×224284938242 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22428493823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18990514 + ... + 18991694.

It is an arithmetic number, because the mean of its divisors is an integer number (341240445).

Almost surely, 222428493824 is an apocalyptic number.

22428493824 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 22428493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32759082720).

22428493824 is an abundant number, since it is smaller than the sum of its proper divisors (43089671616).

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

22428493824 is a wasteful number, since it uses less digits than its factorization.

22428493824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1478 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 22428493824 in words is "twenty-two billion, four hundred twenty-eight million, four hundred ninety-three thousand, eight hundred twenty-four".