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2225284824 = 233721892249
BaseRepresentation
bin1000010010100011…
…0010011011011000
312202002021011220110
42010220302123120
514024133103244
61004451324320
7106100415600
oct20450623330
95662234813
102225284824
11a4212a474
125212b06a0
132960453a9
1417177dc00
15d05639b9
hex84a326d8

2225284824 has 48 divisors (see below), whose sum is σ = 6471495000. Its totient is φ = 635795328.

The previous prime is 2225284759. The next prime is 2225284843. The reversal of 2225284824 is 4284825222.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 944949 + ... + 947300.

Almost surely, 22225284824 is an apocalyptic number.

2225284824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2225284824 is an abundant number, since it is smaller than the sum of its proper divisors (4246210176).

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

2225284824 is a wasteful number, since it uses less digits than its factorization.

2225284824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892272 (or 1892261 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 2225284824 is about 47172.9246920307. The cubic root of 2225284824 is about 1305.5550892330. Note that the first 3 decimals are identical.

The spelling of 2225284824 in words is "two billion, two hundred twenty-five million, two hundred eighty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1892249 3784498 5676747 7568996 11353494 13245743 15137992 22706988 26491486 39737229 45413976 52982972 79474458 92720201 105965944 158948916 185440402 278160603 317897832 370880804 556321206 741761608 1112642412 2225284824