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222530880 = 263511131621
BaseRepresentation
bin11010100001110…
…00110101000000
3120111201201222110
431100320311000
5423431442010
634025335320
75341324035
oct1520706500
9514651873
10222530880
11104681820
1262637540
13371456a0
14217a938c
151480a120
hexd438d40

222530880 has 224 divisors, whose sum is σ = 830567808. Its totient is φ = 49766400.

The previous prime is 222530851. The next prime is 222530899. The reversal of 222530880 is 88035222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136470 + ... + 138090.

It is an arithmetic number, because the mean of its divisors is an integer number (3707892).

Almost surely, 2222530880 is an apocalyptic number.

222530880 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 222530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415283904).

222530880 is an abundant number, since it is smaller than the sum of its proper divisors (608036928).

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

222530880 is a wasteful number, since it uses less digits than its factorization.

222530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 222530880 is about 14917.4689542161. The cubic root of 222530880 is about 605.9871687422.

The spelling of 222530880 in words is "two hundred twenty-two million, five hundred thirty thousand, eight hundred eighty".