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22440124304 = 24131714294441
BaseRepresentation
bin10100111001100010…
…010001111110010000
32010220220001102111222
4110321202101332100
5331424132434204
614150413424212
71423041623633
oct247142217620
963826042458
1022440124304
119575957584
12442319b068
1321680a1880
14112c3cbc1a
158b50baabe
hex539891f90

22440124304 has 80 divisors (see below), whose sum is σ = 49622292720. Its totient is φ = 9738731520.

The previous prime is 22440124303. The next prime is 22440124313. The reversal of 22440124304 is 40342104422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2881542400 + 19558581904 = 53680^2 + 139852^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (22440124303) 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, 5050724 + ... + 5055164.

It is an arithmetic number, because the mean of its divisors is an integer number (620278659).

Almost surely, 222440124304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22440124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811146360).

22440124304 is an abundant number, since it is smaller than the sum of its proper divisors (27182168416).

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

22440124304 is a wasteful number, since it uses less digits than its factorization.

22440124304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22440124304 its reverse (40342104422), we get a palindrome (62782228726).

The spelling of 22440124304 in words is "twenty-two billion, four hundred forty million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1429 1768 2858 3536 4441 5716 8882 11432 17764 18577 22864 24293 35528 37154 48586 57733 71056 74308 75497 97172 115466 148616 150994 194344 230932 297232 301988 315809 388688 461864 603976 631618 923728 981461 1207952 1263236 1962922 2526472 3925844 5052944 6346189 7851688 12692378 15703376 25384756 50769512 82500457 101539024 107885213 165000914 215770426 330001828 431540852 660003656 863081704 1320007312 1402507769 1726163408 2805015538 5610031076 11220062152 22440124304