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220664052 = 223272125093
BaseRepresentation
bin11010010011100…
…01000011110100
3120101012220011200
431021301003310
5422442222202
633521332500
75316420300
oct1511610364
9511186150
10220664052
11103617194
1261a97130
1336940a5b
1421440d00
151458be1c
hexd2710f4

220664052 has 54 divisors (see below), whose sum is σ = 648862578. Its totient is φ = 63046368.

The previous prime is 220663999. The next prime is 220664053. The reversal of 220664052 is 250466022.

It can be written as a sum of positive squares in only one way, i.e., 219810276 + 853776 = 14826^2 + 924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220664053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60783 + ... + 64310.

Almost surely, 2220664052 is an apocalyptic number.

It is an amenable number.

220664052 is an abundant number, since it is smaller than the sum of its proper divisors (428198526).

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

220664052 is a wasteful number, since it uses less digits than its factorization.

220664052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125117 (or 125105 counting only the distinct ones).

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

The square root of 220664052 is about 14854.7652960254. The cubic root of 220664052 is about 604.2878508958.

The spelling of 220664052 in words is "two hundred twenty million, six hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 125093 250186 375279 500372 750558 875651 1125837 1501116 1751302 2251674 2626953 3502604 4503348 5253906 6129557 7880859 10507812 12259114 15761718 18388671 24518228 31523436 36777342 55166013 73554684 110332026 220664052