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22532325440 = 26570413517
BaseRepresentation
bin10100111111000010…
…000000000001000000
32011011022112201200212
4110333002000001000
5332121233403230
614203505533252
71425241414622
oct247702000100
964138481625
1022532325440
119612a01669
12444a044228
132181214661
14113a74cc12
158bd22e895
hex53f080040

22532325440 has 28 divisors (see below), whose sum is σ = 53655100716. Its totient is φ = 9012930048.

The previous prime is 22532325421. The next prime is 22532325449. The reversal of 22532325440 is 4452323522.

It can be written as a sum of positive squares in 2 ways, for example, as 4315964416 + 18216361024 = 65696^2 + 134968^2 .

It is a super-3 number, since 3×225323254403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22532325397 and 22532325406.

It is not an unprimeable number, because it can be changed into a prime (22532325449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35206439 + ... + 35207078.

It is an arithmetic number, because the mean of its divisors is an integer number (1916253597).

Almost surely, 222532325440 is an apocalyptic number.

22532325440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22532325440 is an abundant number, since it is smaller than the sum of its proper divisors (31122775276).

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

22532325440 is an equidigital number, since it uses as much as digits as its factorization.

22532325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70413534 (or 70413524 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 22532325440 its reverse (4452323522), we get a palindrome (26984648962).

The spelling of 22532325440 in words is "twenty-two billion, five hundred thirty-two million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 70413517 140827034 281654068 352067585 563308136 704135170 1126616272 1408270340 2253232544 2816540680 4506465088 5633081360 11266162720 22532325440