Search a number
-
+
2285296900 = 225222852969
BaseRepresentation
bin1000100000110110…
…1101110100000100
312220021012002222221
42020031231310010
514140014000100
61014433502124
7110426463115
oct21015556404
95807162887
102285296900
11a72a99427
12539411944
132a55c79b3
1417972220c
15d596a01a
hex8836dd04

2285296900 has 18 divisors (see below), whose sum is σ = 4959094490. Its totient is φ = 914118720.

The previous prime is 2285296879. The next prime is 2285296913. The reversal of 2285296900 is 96925822.

It can be written as a sum of positive squares in 3 ways, for example, as 11723776 + 2273573124 = 3424^2 + 47682^2 .

It is a super-2 number, since 2×22852969002 = 10445163842299220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11426385 + ... + 11426584.

Almost surely, 22285296900 is an apocalyptic number.

2285296900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2285296900 is an abundant number, since it is smaller than the sum of its proper divisors (2673797590).

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

2285296900 is a wasteful number, since it uses less digits than its factorization.

2285296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22852983 (or 22852976 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 2285296900 is about 47804.7790497979. The cubic root of 2285296900 is about 1317.1873267088.

The spelling of 2285296900 in words is "two billion, two hundred eighty-five million, two hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22852969 45705938 91411876 114264845 228529690 457059380 571324225 1142648450 2285296900