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223857864 = 23332514129
BaseRepresentation
bin11010101011111…
…00110011001000
3120121020011021000
431111330303020
5424301422424
634114015000
75355521556
oct1525746310
9517204230
10223857864
111053a87aa
1262b77460
13374bb699
1421a32bd6
15149bd3c9
hexd57ccc8

223857864 has 64 divisors (see below), whose sum is σ = 624456000. Its totient is φ = 74304000.

The previous prime is 223857857. The next prime is 223857869. The reversal of 223857864 is 468758322.

It is a super-2 number, since 2×2238578642 = 100224686549284992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223857869) 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, 52152 + ... + 56280.

It is an arithmetic number, because the mean of its divisors is an integer number (9757125).

Almost surely, 2223857864 is an apocalyptic number.

223857864 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 223857864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312228000).

223857864 is an abundant number, since it is smaller than the sum of its proper divisors (400598136).

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

223857864 is a wasteful number, since it uses less digits than its factorization.

223857864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4385 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 223857864 is about 14961.8803631094. The cubic root of 223857864 is about 607.1893122523.

The spelling of 223857864 in words is "two hundred twenty-three million, eight hundred fifty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 251 502 753 1004 1506 2008 2259 3012 4129 4518 6024 6777 8258 9036 12387 13554 16516 18072 24774 27108 33032 37161 49548 54216 74322 99096 111483 148644 222966 297288 445932 891864 1036379 2072758 3109137 4145516 6218274 8291032 9327411 12436548 18654822 24873096 27982233 37309644 55964466 74619288 111928932 223857864