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225116232 = 233117311681
BaseRepresentation
bin11010110101100…
…00000001001000
3120200121002102020
431122300001020
5430112204412
634201004440
75402312355
oct1532600110
9520532366
10225116232
11106088180
1263483720
133783c393
1421c7d62c
1514b6b18c
hexd6b0048

225116232 has 64 divisors (see below), whose sum is σ = 622416960. Its totient is φ = 67276800.

The previous prime is 225116197. The next prime is 225116233. The reversal of 225116232 is 232611522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (225116233) 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, 13432 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (9725265).

Almost surely, 2225116232 is an apocalyptic number.

225116232 is a gapful number since it is divisible by the number (22) 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 225116232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311208480).

225116232 is an abundant number, since it is smaller than the sum of its proper divisors (397300728).

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

225116232 is a wasteful number, since it uses less digits than its factorization.

225116232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774 (or 11770 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 225116232 is about 15003.8738997634. The cubic root of 225116232 is about 608.3249143432.

Adding to 225116232 its reverse (232611522), we get a palindrome (457727754).

The spelling of 225116232 in words is "two hundred twenty-five million, one hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 11681 19272 23362 35043 46724 70086 93448 128491 140172 256982 280344 385473 513964 770946 852713 1027928 1541892 1705426 2558139 3083784 3410852 5116278 6821704 9379843 10232556 18759686 20465112 28139529 37519372 56279058 75038744 112558116 225116232