Search a number
-
+
2355442100 = 2252112141311
BaseRepresentation
bin1000110001100101…
…0011000110110100
320002011011212010022
42030121103012310
514310443121400
61025421144312
7112240633064
oct21431230664
96064155108
102355442100
11aa9649570
125589bb098
132b6cb762b
14184b813a4
15dbbc3b85
hex8c6531b4

2355442100 has 36 divisors (see below), whose sum is σ = 5575976448. Its totient is φ = 856524000.

The previous prime is 2355442057. The next prime is 2355442139. The reversal of 2355442100 is 12445532.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2355442100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069556 + ... + 1071755.

Almost surely, 22355442100 is an apocalyptic number.

2355442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355442100 is an abundant number, since it is smaller than the sum of its proper divisors (3220534348).

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

2355442100 is a wasteful number, since it uses less digits than its factorization.

2355442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141336 (or 2141329 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2355442100 is about 48532.8970905303. The cubic root of 2355442100 is about 1330.5283859795.

Adding to 2355442100 its reverse (12445532), we get a palindrome (2367887632).

The spelling of 2355442100 in words is "two billion, three hundred fifty-five million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2141311 4282622 8565244 10706555 21413110 23554421 42826220 47108842 53532775 94217684 107065550 117772105 214131100 235544210 471088420 588860525 1177721050 2355442100