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220664256 = 2631378389
BaseRepresentation
bin11010010011100…
…01000111000000
3120101012220110020
431021301013000
5422442224011
633521333440
75316421011
oct1511610700
9511186406
10220664256
1110361735a
1261a97280
1336940b87
1421441008
151458c006
hexd2711c0

220664256 has 56 divisors (see below), whose sum is σ = 588172560. Its totient is φ = 73009152.

The previous prime is 220664251. The next prime is 220664273. The reversal of 220664256 is 652466022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220664251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22110 + ... + 30498.

Almost surely, 2220664256 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 220664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294086280).

220664256 is an abundant number, since it is smaller than the sum of its proper divisors (367508304).

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

220664256 is a wasteful number, since it uses less digits than its factorization.

220664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 220664256 is about 14854.7721625072. The cubic root of 220664256 is about 604.2880371135.

The spelling of 220664256 in words is "two hundred twenty million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8389 8768 13152 16778 25167 26304 33556 50334 67112 100668 134224 201336 268448 402672 536896 805344 1149293 1610688 2298586 3447879 4597172 6895758 9194344 13791516 18388688 27583032 36777376 55166064 73554752 110332128 220664256