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225847400 = 23523173499
BaseRepresentation
bin11010111011000…
…10100001101000
3120201222020101112
431131202201220
5430304104100
634224405452
75411446142
oct1535424150
9521866345
10225847400
11106537549
1263776888
1337a3711c
1421dcdc92
1514c62b35
hexd762868

225847400 has 96 divisors (see below), whose sum is σ = 550560000. Its totient is φ = 86054400.

The previous prime is 225847387. The next prime is 225847403. The reversal of 225847400 is 4748522.

It is not an unprimeable number, because it can be changed into a prime (225847403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452351 + ... + 452849.

It is an arithmetic number, because the mean of its divisors is an integer number (5735000).

Almost surely, 2225847400 is an apocalyptic number.

225847400 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 225847400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275280000).

225847400 is an abundant number, since it is smaller than the sum of its proper divisors (324712600).

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

225847400 is a wasteful number, since it uses less digits than its factorization.

225847400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 225847400 is about 15028.2201208260. The cubic root of 225847400 is about 608.9828071178.

The spelling of 225847400 in words is "two hundred twenty-five million, eight hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 73 100 124 146 155 200 248 292 310 365 499 584 620 730 775 998 1240 1460 1550 1825 1996 2263 2495 2920 3100 3650 3992 4526 4990 6200 7300 9052 9980 11315 12475 14600 15469 18104 19960 22630 24950 30938 36427 45260 49900 56575 61876 72854 77345 90520 99800 113150 123752 145708 154690 182135 226300 291416 309380 364270 386725 452600 618760 728540 773450 910675 1129237 1457080 1546900 1821350 2258474 3093800 3642700 4516948 5646185 7285400 9033896 11292370 22584740 28230925 45169480 56461850 112923700 225847400