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2225435316 = 2231331460181
BaseRepresentation
bin1000010010100101…
…0111001010110100
312202002112211100020
42010221113022310
514024202412231
61004454445140
7106101613416
oct20451271264
95662484306
102225435316
11a42222545
125213637b0
13296098a40
141717bc9b6
15d0593396
hex84a572b4

2225435316 has 48 divisors (see below), whose sum is σ = 5772523008. Its totient is φ = 662659200.

The previous prime is 2225435281. The next prime is 2225435353. The reversal of 2225435316 is 6135345222.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225255 + ... + 234926.

It is an arithmetic number, because the mean of its divisors is an integer number (120260896).

Almost surely, 22225435316 is an apocalyptic number.

2225435316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2225435316 is an abundant number, since it is smaller than the sum of its proper divisors (3547087692).

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

2225435316 is a wasteful number, since it uses less digits than its factorization.

2225435316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460232 (or 460230 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 2225435316 is about 47174.5197749802. The cubic root of 2225435316 is about 1305.5845193484.

The spelling of 2225435316 in words is "two billion, two hundred twenty-five million, four hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 460181 920362 1380543 1840724 2761086 5522172 5982353 11964706 14265611 17947059 23929412 28531222 35894118 42796833 57062444 71788236 85593666 171187332 185452943 370905886 556358829 741811772 1112717658 2225435316