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22352145440 = 255139700909
BaseRepresentation
bin10100110100010010…
…101010110000100000
32010200202111122012112
4110310102222300200
5331234122123230
614133552014452
71420623046532
oct246422526040
963622448175
1022352145440
119530226779
1243b9831428
132152aa9881
141120849852
158ac4dcd95
hex5344aac20

22352145440 has 24 divisors (see below), whose sum is σ = 52806943980. Its totient is φ = 8940858112.

The previous prime is 22352145401. The next prime is 22352145467. The reversal of 22352145440 is 4454125322.

It can be written as a sum of positive squares in 2 ways, for example, as 21133018384 + 1219127056 = 145372^2 + 34916^2 .

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 = 22352145397 and 22352145406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69850295 + ... + 69850614.

Almost surely, 222352145440 is an apocalyptic number.

22352145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22352145440 is an abundant number, since it is smaller than the sum of its proper divisors (30454798540).

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

22352145440 is a wasteful number, since it uses less digits than its factorization.

22352145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139700924 (or 139700916 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 22352145440 in words is "twenty-two billion, three hundred fifty-two million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 139700909 279401818 558803636 698504545 1117607272 1397009090 2235214544 2794018180 4470429088 5588036360 11176072720 22352145440