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222904900 = 225214932
BaseRepresentation
bin11010100100101…
…00001001000100
3120112102202001001
431102110021010
5424030424100
634041343044
75344442341
oct1522241104
9515382031
10222904900
11104907829
1262797a84
13372469ba
14218657c8
1514880d6a
hexd494244

222904900 has 27 divisors (see below), whose sum is σ = 484027831. Its totient is φ = 89102240.

The previous prime is 222904897. The next prime is 222904907. The reversal of 222904900 is 9409222.

It is a happy number.

The square root of 222904900 is 14930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16924996 + 205979904 = 4114^2 + 14352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222904907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148554 + ... + 150046.

Almost surely, 2222904900 is an apocalyptic number.

222904900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222904900 is the 14930-th square number.

It is an amenable number.

222904900 is an abundant number, since it is smaller than the sum of its proper divisors (261122931).

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

222904900 is an equidigital number, since it uses as much as digits as its factorization.

222904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 222904900 is about 606.3264841330.

The spelling of 222904900 in words is "two hundred twenty-two million, nine hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1493 2986 5972 7465 14930 29860 37325 74650 149300 2229049 4458098 8916196 11145245 22290490 44580980 55726225 111452450 222904900