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2204492436 = 22347978537
BaseRepresentation
bin1000001101100101…
…1110001010010100
312200122010211010000
42003121132022110
514003322224221
61002425531300
7105425606436
oct20331361224
95618124100
102204492436
11a31418883
12516343b30
132919453c3
1416caca656
15cd807e26
hex8365e294

2204492436 has 60 divisors (see below), whose sum is σ = 5770885428. Its totient is φ = 733822848.

The previous prime is 2204492401. The next prime is 2204492447. The reversal of 2204492436 is 6342944022.

It can be written as a sum of positive squares in 2 ways, for example, as 1553936400 + 650556036 = 39420^2 + 25506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2204492436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 253960 + ... + 262496.

Almost surely, 22204492436 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 2204492436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885442714).

2204492436 is an abundant number, since it is smaller than the sum of its proper divisors (3566392992).

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

2204492436 is a wasteful number, since it uses less digits than its factorization.

2204492436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2204492436 is about 46952.0227040327. The cubic root of 2204492436 is about 1301.4761212901.

The spelling of 2204492436 in words is "two billion, two hundred four million, four hundred ninety-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 797 1594 2391 3188 4782 7173 8537 9564 14346 17074 21519 25611 28692 34148 43038 51222 64557 76833 86076 102444 129114 153666 230499 258228 307332 460998 691497 921996 1382994 2765988 6803989 13607978 20411967 27215956 40823934 61235901 81647868 122471802 183707703 244943604 367415406 551123109 734830812 1102246218 2204492436