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226560 = 283559
BaseRepresentation
bin110111010100000000
3102111210010
4313110000
524222220
64504520
71632345
oct672400
9374703
10226560
11145244
12ab140
137c179
145c7cc
15471e0
hex37500

226560 has 72 divisors (see below), whose sum is σ = 735840. Its totient is φ = 59392.

The previous prime is 226553. The next prime is 226571. The reversal of 226560 is 65622.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226560.

It is an unprimeable number.

226560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3811 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (10220).

2226560 is an apocalyptic number.

226560 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 226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920).

226560 is an abundant number, since it is smaller than the sum of its proper divisors (509280).

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

226560 is an equidigital number, since it uses as much as digits as its factorization.

226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 226560 is about 475.9831929806. The cubic root of 226560 is about 60.9622627828.

It can be divided in two parts, 2 and 26560, that added together give a palindrome (26562).

The spelling of 226560 in words is "two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 590 640 708 768 885 944 960 1180 1280 1416 1770 1888 1920 2360 2832 3540 3776 3840 4720 5664 7080 7552 9440 11328 14160 15104 18880 22656 28320 37760 45312 56640 75520 113280 226560