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220704 = 25311219
BaseRepresentation
bin110101111000100000
3102012202020
4311320200
524030304
64421440
71606311
oct657040
9365666
10220704
11140900
12a7880
13795c3
145a608
15455d9
hex35e20

220704 has 72 divisors (see below), whose sum is σ = 670320. Its totient is φ = 63360.

The previous prime is 220699. The next prime is 220709. The reversal of 220704 is 407022.

It is an interprime number because it is at equal distance from previous prime (220699) and next prime (220709).

It is not an unprimeable number, because it can be changed into a prime (220709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11607 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2220704 is an apocalyptic number.

220704 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 220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

220704 is an abundant number, since it is smaller than the sum of its proper divisors (449616).

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

220704 is a wasteful number, since it uses less digits than its factorization.

220704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 220704 is about 469.7914430894. The cubic root of 220704 is about 60.4324314522.

Adding to 220704 its reverse (407022), we get a palindrome (627726).

It can be divided in two parts, 2 and 20704, that added together give a triangular number (20706 = T203).

The spelling of 220704 in words is "two hundred twenty thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 242 264 304 352 363 418 456 484 528 608 627 726 836 912 968 1056 1254 1452 1672 1824 1936 2299 2508 2904 3344 3872 4598 5016 5808 6688 6897 9196 10032 11616 13794 18392 20064 27588 36784 55176 73568 110352 220704