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225338814 = 23331227593
BaseRepresentation
bin11010110111001…
…10010110111110
3120201000101202000
431123212112332
5430141320224
634205443130
75404230321
oct1533462676
9521011660
10225338814
1110621a428
12635704a6
13378b979c
1421cda7b8
1514bb20c9
hexd6e65be

225338814 has 64 divisors (see below), whose sum is σ = 520058880. Its totient is φ = 72247680.

The previous prime is 225338761. The next prime is 225338831. The reversal of 225338814 is 418833522.

It is a congruent number.

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, 379702 + ... + 380294.

It is an arithmetic number, because the mean of its divisors is an integer number (8125920).

Almost surely, 2225338814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225338814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260029440).

225338814 is an abundant number, since it is smaller than the sum of its proper divisors (294720066).

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

225338814 is a wasteful number, since it uses less digits than its factorization.

225338814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 225338814 is about 15011.2895515342. The cubic root of 225338814 is about 608.5253405458.

The spelling of 225338814 in words is "two hundred twenty-five million, three hundred thirty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 227 279 454 558 593 681 837 1186 1362 1674 1779 2043 3558 4086 5337 6129 7037 10674 12258 14074 16011 18383 21111 32022 36766 42222 55149 63333 110298 126666 134611 165447 189999 269222 330894 379998 403833 496341 807666 992682 1211499 2422998 3634497 4172941 7268994 8345882 12518823 25037646 37556469 75112938 112669407 225338814