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222960 = 2435929
BaseRepresentation
bin110110011011110000
3102022211210
4312123300
524113320
64440120
71616013
oct663360
9368753
10222960
11142571
12a9040
137a63a
145b37a
15460e0
hex366f0

222960 has 40 divisors (see below), whose sum is σ = 691920. Its totient is φ = 59392.

The previous prime is 222953. The next prime is 222967. The reversal of 222960 is 69222.

222960 = T31 + T32 + ... + T110.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222953) and next prime (222967).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2229602 = 99422323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222967) by changing a digit.

222960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2222960 is an apocalyptic number.

222960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222960 is an abundant number, since it is smaller than the sum of its proper divisors (468960).

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

222960 is a wasteful number, since it uses less digits than its factorization.

222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 222960 is about 472.1864038703. The cubic root of 222960 is about 60.6376439423.

The spelling of 222960 in words is "two hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 929 1858 2787 3716 4645 5574 7432 9290 11148 13935 14864 18580 22296 27870 37160 44592 55740 74320 111480 222960