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2287998144 = 26333373929
BaseRepresentation
bin1000100001100000…
…0001010011000000
312220110021100102000
42020120001103000
514141211420034
61015011424000
7110461443345
oct21030012300
95813240360
102287998144
11a74573963
1253a2b5000
132a6032373
14179c267cc
15d5d00599
hex886014c0

2287998144 has 112 divisors (see below), whose sum is σ = 6747967200. Its totient is φ = 760209408.

The previous prime is 2287998143. The next prime is 2287998151. The reversal of 2287998144 is 4418997822.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287998143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580372 + ... + 584300.

Almost surely, 22287998144 is an apocalyptic number.

2287998144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373983600).

2287998144 is an abundant number, since it is smaller than the sum of its proper divisors (4459969056).

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

2287998144 is a wasteful number, since it uses less digits than its factorization.

2287998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4271 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2287998144 is about 47833.0235715870. The cubic root of 2287998144 is about 1317.7060986026.

The spelling of 2287998144 in words is "two billion, two hundred eighty-seven million, nine hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 337 432 576 674 864 1011 1348 1728 2022 2696 3033 3929 4044 5392 6066 7858 8088 9099 10784 11787 12132 15716 16176 18198 21568 23574 24264 31432 32352 35361 36396 47148 48528 62864 64704 70722 72792 94296 97056 106083 125728 141444 145584 188592 194112 212166 251456 282888 291168 377184 424332 565776 582336 754368 848664 1131552 1324073 1697328 2263104 2648146 3394656 3972219 5296292 6789312 7944438 10592584 11916657 15888876 21185168 23833314 31777752 35749971 42370336 47666628 63555504 71499942 84740672 95333256 127111008 142999884 190666512 254222016 285999768 381333024 571999536 762666048 1143999072 2287998144