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225232410 = 23513751769
BaseRepresentation
bin11010110110011…
…00011000011010
3120200210222210010
431123030120122
5430124414120
634203302350
75403305154
oct1533143032
9520728703
10225232410
11106157497
126351a9b6
1337880220
1421cadad4
1514b907e0
hexd6cc61a

225232410 has 64 divisors (see below), whose sum is σ = 583672320. Its totient is φ = 55296000.

The previous prime is 225232367. The next prime is 225232421. The reversal of 225232410 is 14232522.

225232410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 292506 + ... + 293274.

It is an arithmetic number, because the mean of its divisors is an integer number (9119880).

Almost surely, 2225232410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225232410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291836160).

225232410 is an abundant number, since it is smaller than the sum of its proper divisors (358439910).

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

225232410 is a wasteful number, since it uses less digits than its factorization.

225232410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225232410 is about 15007.7450004989. The cubic root of 225232410 is about 608.4295444668.

Adding to 225232410 its reverse (14232522), we get a palindrome (239464932).

The spelling of 225232410 in words is "two hundred twenty-five million, two hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 751 769 1502 1538 2253 2307 3755 3845 4506 4614 7510 7690 9763 9997 11265 11535 19526 19994 22530 23070 29289 29991 48815 49985 58578 59982 97630 99970 146445 149955 292890 299910 577519 1155038 1732557 2887595 3465114 5775190 7507747 8662785 15015494 17325570 22523241 37538735 45046482 75077470 112616205 225232410