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220966476 = 223177913711
BaseRepresentation
bin11010010101110…
…10111001001100
3120101210021000120
431022322321030
5423031411401
633532024540
75322120063
oct1512727114
9511707016
10220966476
11103803425
1262002150
1336a185c3
14214bd1da
15145eb836
hexd2bae4c

220966476 has 48 divisors (see below), whose sum is σ = 552867840. Its totient is φ = 68440320.

The previous prime is 220966453. The next prime is 220966513. The reversal of 220966476 is 674669022.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261 + ... + 22971.

It is an arithmetic number, because the mean of its divisors is an integer number (11518080).

Almost surely, 2220966476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220966476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276433920).

220966476 is an abundant number, since it is smaller than the sum of its proper divisors (331901364).

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

220966476 is a wasteful number, since it uses less digits than its factorization.

220966476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814 (or 13812 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 220966476 is about 14864.9411704184. The cubic root of 220966476 is about 604.5637872841.

The spelling of 220966476 in words is "two hundred twenty million, nine hundred sixty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 8058 13711 16116 27422 41133 54844 82266 164532 233087 466174 699261 932348 1083169 1398522 2166338 2797044 3249507 4332676 6499014 12998028 18413873 36827746 55241619 73655492 110483238 220966476