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222050664 = 2332112511117
BaseRepresentation
bin11010011110000…
…11100101101000
3120110211100020200
431033003211220
5423321110124
634011152200
75334254013
oct1517034550
9513740220
10222050664
11104383a50
1262445660
1337007c34
14216c237a
1514762bc9
hexd3c3968

222050664 has 96 divisors (see below), whose sum is σ = 659262240. Its totient is φ = 66960000.

The previous prime is 222050657. The next prime is 222050681. The reversal of 222050664 is 466050222.

222050664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198234 + ... + 199350.

It is an arithmetic number, because the mean of its divisors is an integer number (6867315).

Almost surely, 2222050664 is an apocalyptic number.

222050664 is a gapful number since it is divisible by the number (24) 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 222050664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329631120).

222050664 is an abundant number, since it is smaller than the sum of its proper divisors (437211576).

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

222050664 is a wasteful number, since it uses less digits than its factorization.

222050664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 222050664 is about 14901.3645012797. The cubic root of 222050664 is about 605.5509531595.

The spelling of 222050664 in words is "two hundred twenty-two million, fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 251 264 396 502 753 792 1004 1117 1506 2008 2234 2259 2761 3012 3351 4468 4518 5522 6024 6702 8283 8936 9036 10053 11044 12287 13404 16566 18072 20106 22088 24574 24849 26808 33132 36861 40212 49148 49698 66264 73722 80424 98296 99396 110583 147444 198792 221166 280367 294888 442332 560734 841101 884664 1121468 1682202 2242936 2523303 3084037 3364404 5046606 6168074 6728808 9252111 10093212 12336148 18504222 20186424 24672296 27756333 37008444 55512666 74016888 111025332 222050664