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225232252 = 22717617757
BaseRepresentation
bin11010110110011…
…00010101111100
3120200210222120021
431123030111330
5430124413002
634203301524
75403304540
oct1533142574
9520728507
10225232252
11106157363
126351a8a4
133788012b
1421cada20
1514b90737
hexd6cc57c

225232252 has 48 divisors (see below), whose sum is σ = 484843968. Its totient is φ = 89349120.

The previous prime is 225232243. The next prime is 225232253. The reversal of 225232252 is 252232522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225232253) 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, 25158 + ... + 32914.

It is an arithmetic number, because the mean of its divisors is an integer number (10100916).

Almost surely, 2225232252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225232252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242421984).

225232252 is an abundant number, since it is smaller than the sum of its proper divisors (259611716).

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

225232252 is a wasteful number, since it uses less digits than its factorization.

225232252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7844 counting only the distinct ones).

The product of its digits is 4800, while the sum is 25.

The square root of 225232252 is about 15007.7397365493. The cubic root of 225232252 is about 608.4294021961.

Adding to 225232252 its reverse (252232522), we get a palindrome (477464774).

The spelling of 225232252 in words is "two hundred twenty-five million, two hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 427 476 854 1037 1708 2074 4148 7259 7757 14518 15514 29036 31028 54299 108598 131869 217196 263738 473177 527476 923083 946354 1846166 1892708 3312239 3692332 6624478 8044009 13248956 16088018 32176036 56308063 112616126 225232252