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222490800 = 2436527109
BaseRepresentation
bin11010100001011…
…11000010110000
3120111122201000000
431100233002300
5423424201200
634024430000
75341066140
oct1520570260
9514581000
10222490800
111046546a4
1262618300
133713037c
1421798920
15147ed300
hexd42f0b0

222490800 has 420 divisors, whose sum is σ = 924328240. Its totient is φ = 50388480.

The previous prime is 222490777. The next prime is 222490841. The reversal of 222490800 is 8094222.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041146 + ... + 2041254.

Almost surely, 2222490800 is an apocalyptic number.

222490800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462164120).

222490800 is an abundant number, since it is smaller than the sum of its proper divisors (701837440).

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

222490800 is a wasteful number, since it uses less digits than its factorization.

222490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 222490800 is about 14916.1255022878. The cubic root of 222490800 is about 605.9507851416.

The spelling of 222490800 in words is "two hundred twenty-two million, four hundred ninety thousand, eight hundred".