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2225131140 = 2235291278811
BaseRepresentation
bin1000010010100000…
…1100111010000100
312202001222101002110
42010220030322010
514024113144030
61004444141020
7106066205541
oct20450147204
95661871073
102225131140
11a42034a61
12521237770
13295cc045b
1417173dbc8
15d05331b0
hex84a0ce84

2225131140 has 48 divisors (see below), whose sum is σ = 6445212480. Its totient is φ = 572906880.

The previous prime is 2225131063. The next prime is 2225131163. The reversal of 2225131140 is 411315222.

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 15 ways as a sum of consecutive naturals, for example, 637666 + ... + 641145.

It is an arithmetic number, because the mean of its divisors is an integer number (134275260).

Almost surely, 22225131140 is an apocalyptic number.

2225131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225131140 is an abundant number, since it is smaller than the sum of its proper divisors (4220081340).

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

2225131140 is a wasteful number, since it uses less digits than its factorization.

2225131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278852 (or 1278850 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2225131140 is about 47171.2957210209. The cubic root of 2225131140 is about 1305.5250335228.

Adding to 2225131140 its reverse (411315222), we get a palindrome (2636446362).

The spelling of 2225131140 in words is "two billion, two hundred twenty-five million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1278811 2557622 3836433 5115244 6394055 7672866 12788110 15345732 19182165 25576220 37085519 38364330 74171038 76728660 111256557 148342076 185427595 222513114 370855190 445026228 556282785 741710380 1112565570 2225131140