Search a number
-
+
2304252100 = 2252122918749
BaseRepresentation
bin1000100101011000…
…0001100011000100
312221120212010122101
42021112001203010
514204342031400
61020352041444
7111046551103
oct21126014304
95846763571
102304252100
11a82765787
12543833284
132a95036a7
1417c05803a
15d746156a
hex895818c4

2304252100 has 36 divisors (see below), whose sum is σ = 5004562500. Its totient is φ = 920901760.

The previous prime is 2304252091. The next prime is 2304252121. The reversal of 2304252100 is 12524032.

It can be written as a sum of positive squares in 6 ways, for example, as 160376896 + 2143875204 = 12664^2 + 46302^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113526 + ... + 132274.

It is an arithmetic number, because the mean of its divisors is an integer number (139015625).

Almost surely, 22304252100 is an apocalyptic number.

2304252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304252100 is an abundant number, since it is smaller than the sum of its proper divisors (2700310400).

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

2304252100 is a wasteful number, since it uses less digits than its factorization.

2304252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19992 (or 19985 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2304252100 is about 48002.6259698363. The cubic root of 2304252100 is about 1320.8190700151.

Adding to 2304252100 its reverse (12524032), we get a palindrome (2316776132).

The spelling of 2304252100 in words is "two billion, three hundred four million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1229 2458 4916 6145 12290 18749 24580 30725 37498 61450 74996 93745 122900 187490 374980 468725 937450 1874900 23042521 46085042 92170084 115212605 230425210 460850420 576063025 1152126050 2304252100