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22313120 = 255139457
BaseRepresentation
bin101010100011…
…1100010100000
31112222121211212
41111013202200
521203004440
62114125252
7360441554
oct125074240
945877755
1022313120
11116601a5
127580828
13481323b
142d6b864
151e5b465
hex15478a0

22313120 has 24 divisors (see below), whose sum is σ = 52715124. Its totient is φ = 8925184.

The previous prime is 22313113. The next prime is 22313131. The reversal of 22313120 is 2131322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21049744 + 1263376 = 4588^2 + 1124^2 .

It is a super-3 number, since 3×223131203 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22313095 and 22313104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69569 + ... + 69888.

Almost surely, 222313120 is an apocalyptic number.

22313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313120 is an abundant number, since it is smaller than the sum of its proper divisors (30402004).

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

22313120 is a wasteful number, since it uses less digits than its factorization.

22313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139472 (or 139464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 22313120 is about 4723.6765342263. The cubic root of 22313120 is about 281.5270310679.

Adding to 22313120 its reverse (2131322), we get a palindrome (24444442).

The spelling of 22313120 in words is "twenty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 139457 278914 557828 697285 1115656 1394570 2231312 2789140 4462624 5578280 11156560 22313120