Search a number
-
+
2201442404 = 2272175991103
BaseRepresentation
bin1000001100110111…
…0101100001100100
312200102101212020212
42003031311201210
514002032124104
61002240314552
7105360644300
oct20315654144
95612355225
102201442404
11a2a725297
12515312a58
13291118055
1416c534d00
15cd40436e
hex83375864

2201442404 has 72 divisors (see below), whose sum is σ = 4757356800. Its totient is φ = 885690624.

The previous prime is 2201442379. The next prime is 2201442413. The reversal of 2201442404 is 4042441022.

It is a self number, because there is not a number n which added to its sum of digits gives 2201442404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995317 + ... + 1996419.

It is an arithmetic number, because the mean of its divisors is an integer number (66074400).

Almost surely, 22201442404 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 2201442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378678400).

2201442404 is an abundant number, since it is smaller than the sum of its proper divisors (2555914396).

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

2201442404 is a wasteful number, since it uses less digits than its factorization.

2201442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2201442404 is about 46919.5311570779. The cubic root of 2201442404 is about 1300.8756238918.

Adding to 2201442404 its reverse (4042441022), we get a palindrome (6243883426).

The spelling of 2201442404 in words is "two billion, two hundred one million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 599 833 1103 1198 1666 2206 2396 3332 4193 4412 7721 8386 10183 15442 16772 18751 20366 29351 30884 37502 40732 54047 58702 71281 75004 108094 117404 131257 142562 216188 262514 285124 498967 525028 660697 918799 997934 1321394 1837598 1995868 2642788 3675196 4624879 9249758 11231849 18499516 22463698 32374153 44927396 64748306 78622943 129496612 157245886 314491772 550360601 1100721202 2201442404