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222012320 = 2557971741
BaseRepresentation
bin11010011101110…
…10001110100000
3120110202101122112
431032322032200
5423313343240
634010254452
75334034145
oct1516721640
9513671575
10222012320
11104358162
1262427428
1336cc364a
14216b23cc
1514756665
hexd3ba3a0

222012320 has 48 divisors (see below), whose sum is σ = 525463848. Its totient is φ = 88642560.

The previous prime is 222012319. The next prime is 222012331. The reversal of 222012320 is 23210222.

222012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97377424 + 124634896 = 9868^2 + 11164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222012295 and 222012304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126650 + ... + 128390.

Almost surely, 2222012320 is an apocalyptic number.

222012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012320 is an abundant number, since it is smaller than the sum of its proper divisors (303451528).

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

222012320 is a wasteful number, since it uses less digits than its factorization.

222012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 222012320 is about 14900.0778521456. The cubic root of 222012320 is about 605.5160953753.

Adding to 222012320 its reverse (23210222), we get a palindrome (245222542).

The spelling of 222012320 in words is "two hundred twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 797 1594 1741 3188 3482 3985 6376 6964 7970 8705 12752 13928 15940 17410 25504 27856 31880 34820 55712 63760 69640 127520 139280 278560 1387577 2775154 5550308 6937885 11100616 13875770 22201232 27751540 44402464 55503080 111006160 222012320