Search a number
-
+
2204712 = 233359173
BaseRepresentation
bin1000011010010000101000
311011000022000
420122100220
51031022322
6115131000
724511506
oct10322050
94130260
102204712
111276484
128a3a60
135c2683
14415676
152d83ac
hex21a428

2204712 has 64 divisors (see below), whose sum is σ = 6264000. Its totient is φ = 718272.

The previous prime is 2204701. The next prime is 2204731. The reversal of 2204712 is 2174022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 12658 + ... + 12830.

It is an arithmetic number, because the mean of its divisors is an integer number (97875).

22204712 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 2204712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132000).

2204712 is an abundant number, since it is smaller than the sum of its proper divisors (4059288).

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

2204712 is a wasteful number, since it uses less digits than its factorization.

2204712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2204712 is about 1484.8272626807. The cubic root of 2204712 is about 130.1519328185.

Adding to 2204712 its reverse (2174022), we get a palindrome (4378734).

It can be divided in two parts, 2204 and 712, that added together give a square (2916 = 542).

The spelling of 2204712 in words is "two million, two hundred four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 173 177 216 236 346 354 472 519 531 692 708 1038 1062 1384 1416 1557 1593 2076 2124 3114 3186 4152 4248 4671 6228 6372 9342 10207 12456 12744 18684 20414 30621 37368 40828 61242 81656 91863 122484 183726 244968 275589 367452 551178 734904 1102356 2204712