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225847280 = 245592811
BaseRepresentation
bin11010111011000…
…10011111110000
3120201222020020002
431131202133300
5430304103110
634224405132
75411445611
oct1535423760
9521866202
10225847280
1110653744a
12637767a8
1337a37059
1421dcdc08
1514c62aa5
hexd7627f0

225847280 has 60 divisors (see below), whose sum is σ = 534804312. Its totient is φ = 88698240.

The previous prime is 225847277. The next prime is 225847283. The reversal of 225847280 is 82748522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225847277) and next prime (225847283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225847283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278075 + ... + 278885.

Almost surely, 2225847280 is an apocalyptic number.

225847280 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 225847280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267402156).

225847280 is an abundant number, since it is smaller than the sum of its proper divisors (308957032).

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

225847280 is an equidigital number, since it uses as much as digits as its factorization.

225847280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 225847280 is about 15028.2161283367. The cubic root of 225847280 is about 608.9826992604.

The spelling of 225847280 in words is "two hundred twenty-five million, eight hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 811 944 1180 1622 2360 3244 3481 4055 4720 6488 6962 8110 12976 13924 16220 17405 27848 32440 34810 47849 55696 64880 69620 95698 139240 191396 239245 278480 382792 478490 765584 956980 1913960 2823091 3827920 5646182 11292364 14115455 22584728 28230910 45169456 56461820 112923640 225847280