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222000480 = 25335135967
BaseRepresentation
bin11010011101101…
…11010101100000
3120110201210102000
431032313111200
5423313003410
634010124000
75333654502
oct1516672540
9513653360
10222000480
1110434a279
1262420600
1336cbb140
14216abd72
1514752dc0
hexd3b7560

222000480 has 384 divisors, whose sum is σ = 863654400. Its totient is φ = 52918272.

The previous prime is 222000479. The next prime is 222000487. The reversal of 222000480 is 84000222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222000487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3313407 + ... + 3313473.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2222000480 is an apocalyptic number.

222000480 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 222000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

222000480 is an abundant number, since it is smaller than the sum of its proper divisors (641653920).

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

222000480 is a wasteful number, since it uses less digits than its factorization.

222000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222000480 is about 14899.6805334880. The cubic root of 222000480 is about 605.5053310507.

The spelling of 222000480 in words is "two hundred twenty-two million, four hundred eighty", and thus it is an aban number.