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225245120 = 2655931187
BaseRepresentation
bin11010110110011…
…11011111000000
3120200211122012212
431123033133000
5430130320440
634203441252
75403360212
oct1533173700
9520748185
10225245120
11106165aa1
1263526228
1337885c49
1421cb45b2
1514b94465
hexd6cf7c0

225245120 has 56 divisors (see below), whose sum is σ = 537722064. Its totient is φ = 89870336.

The previous prime is 225245113. The next prime is 225245131. The reversal of 225245120 is 21542522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189167 + ... + 190353.

Almost surely, 2225245120 is an apocalyptic number.

225245120 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 225245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268861032).

225245120 is an abundant number, since it is smaller than the sum of its proper divisors (312476944).

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

225245120 is a wasteful number, since it uses less digits than its factorization.

225245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 225245120 is about 15008.1684425515. The cubic root of 225245120 is about 608.4409889329.

Adding to 225245120 its reverse (21542522), we get a palindrome (246787642).

The spelling of 225245120 in words is "two hundred twenty-five million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 593 1186 1187 2372 2374 2965 4744 4748 5930 5935 9488 9496 11860 11870 18976 18992 23720 23740 37952 37984 47440 47480 75968 94880 94960 189760 189920 379840 703891 1407782 2815564 3519455 5631128 7038910 11262256 14077820 22524512 28155640 45049024 56311280 112622560 225245120