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225323340 = 223511379227
BaseRepresentation
bin11010110111000…
…10100101001100
3120200222121111220
431123202211030
5430140321330
634205243340
75404134234
oct1533424514
9520877456
10225323340
11106209840
1263563550
13378b2728
1421cd4cc4
1514bac710
hexd6e294c

225323340 has 96 divisors (see below), whose sum is σ = 706938624. Its totient is φ = 53141760.

The previous prime is 225323339. The next prime is 225323363. The reversal of 225323340 is 43323522.

225323340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225323340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19807 + ... + 29033.

It is an arithmetic number, because the mean of its divisors is an integer number (7363944).

Almost surely, 2225323340 is an apocalyptic number.

225323340 is a gapful number since it is divisible by the number (20) 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 225323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353469312).

225323340 is an abundant number, since it is smaller than the sum of its proper divisors (481615284).

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

225323340 is a wasteful number, since it uses less digits than its factorization.

225323340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 225323340 is about 15010.7741306037. The cubic root of 225323340 is about 608.5114110966.

Adding to 225323340 its reverse (43323522), we get a palindrome (268646862).

The spelling of 225323340 in words is "two hundred twenty-five million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 9227 12210 18454 24420 27681 36908 46135 55362 92270 101497 110724 138405 184540 202994 276810 304491 341399 405988 507485 553620 608982 682798 1014970 1024197 1217964 1365596 1522455 1706995 2029940 2048394 3044910 3413990 3755389 4096788 5120985 6089820 6827980 7510778 10241970 11266167 15021556 18776945 20483940 22532334 37553890 45064668 56330835 75107780 112661670 225323340