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223064560 = 245191011453
BaseRepresentation
bin11010100101110…
…11000111110000
3120112201212001101
431102323013300
5424101031220
634045014144
75346005665
oct1522730760
9515655041
10223064560
11104a06784
1262854354
13372a1584
14218a7a6c
15148b330a
hexd4bb1f0

223064560 has 80 divisors (see below), whose sum is σ = 551705760. Its totient is φ = 83635200.

The previous prime is 223064551. The next prime is 223064591. The reversal of 223064560 is 65460322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 152794 + ... + 154246.

It is an arithmetic number, because the mean of its divisors is an integer number (6896322).

Almost surely, 2223064560 is an apocalyptic number.

223064560 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 223064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275852880).

223064560 is an abundant number, since it is smaller than the sum of its proper divisors (328641200).

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

223064560 is a wasteful number, since it uses less digits than its factorization.

223064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 223064560 is about 14935.3459953226. The cubic root of 223064560 is about 606.4712139894.

The spelling of 223064560 in words is "two hundred twenty-three million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 304 380 404 505 760 808 1010 1453 1520 1616 1919 2020 2906 3838 4040 5812 7265 7676 8080 9595 11624 14530 15352 19190 23248 27607 29060 30704 38380 55214 58120 76760 110428 116240 138035 146753 153520 220856 276070 293506 441712 552140 587012 733765 1104280 1174024 1467530 2208560 2348048 2788307 2935060 5576614 5870120 11153228 11740240 13941535 22306456 27883070 44612912 55766140 111532280 223064560