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225999384 = 233132273191
BaseRepresentation
bin11010111100001…
…11101000011000
3120202020221212120
431132013220120
5430323440014
634231541240
75412651222
oct1536075030
9522227776
10225999384
11106630756
126382a820
1337a8b360
142202d412
1514c92ba9
hexd787a18

225999384 has 64 divisors (see below), whose sum is σ = 611331840. Its totient is φ = 69210240.

The previous prime is 225999383. The next prime is 225999463. The reversal of 225999384 is 483999522.

It is a happy number.

225999384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225999383) 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, 69229 + ... + 72419.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2225999384 is an apocalyptic number.

225999384 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 225999384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305665920).

225999384 is an abundant number, since it is smaller than the sum of its proper divisors (385332456).

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

225999384 is a wasteful number, since it uses less digits than its factorization.

225999384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3436 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 225999384 is about 15033.2758905037. The cubic root of 225999384 is about 609.1193814728.

The spelling of 225999384 in words is "two hundred twenty-five million, nine hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 312 454 681 908 1362 1816 2724 2951 3191 5448 5902 6382 8853 9573 11804 12764 17706 19146 23608 25528 35412 38292 41483 70824 76584 82966 124449 165932 248898 331864 497796 724357 995592 1448714 2173071 2897428 4346142 5794856 8692284 9416641 17384568 18833282 28249923 37666564 56499846 75333128 112999692 225999384