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225456750 = 23353127263
BaseRepresentation
bin11010111000000…
…11001001101110
3120201020101112000
431130003021232
5430204104000
634212153130
75405231211
oct1534031156
9521211460
10225456750
1110629aaa2
12636087a6
133792b37c
1421d2b778
1514bd7000
hexd70326e

225456750 has 128 divisors (see below), whose sum is σ = 632586240. Its totient is φ = 59421600.

The previous prime is 225456743. The next prime is 225456767. The reversal of 225456750 is 57654522.

225456750 = T54 + T55 + ... + T1105.

225456750 is a `hidden beast` number, since 2 + 2 + 545 + 67 + 50 = 666.

225456750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2254567502 = 101661492241125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857119 + ... + 857381.

It is an arithmetic number, because the mean of its divisors is an integer number (4942080).

Almost surely, 2225456750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225456750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316293120).

225456750 is an abundant number, since it is smaller than the sum of its proper divisors (407129490).

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

225456750 is a wasteful number, since it uses less digits than its factorization.

225456750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 225456750 is about 15015.2172811452. The cubic root of 225456750 is about 608.6314837155.

The spelling of 225456750 in words is "two hundred twenty-five million, four hundred fifty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 127 135 150 225 250 254 263 270 375 381 450 526 635 675 750 762 789 1125 1143 1270 1315 1350 1578 1905 2250 2286 2367 2630 3175 3375 3429 3810 3945 4734 5715 6350 6575 6750 6858 7101 7890 9525 11430 11835 13150 14202 15875 17145 19050 19725 23670 28575 31750 32875 33401 34290 35505 39450 47625 57150 59175 65750 66802 71010 85725 95250 98625 100203 118350 142875 167005 171450 177525 197250 200406 285750 295875 300609 334010 355050 428625 501015 591750 601218 835025 857250 887625 901827 1002030 1503045 1670050 1775250 1803654 2505075 3006090 4175125 4509135 5010150 7515225 8350250 9018270 12525375 15030450 22545675 25050750 37576125 45091350 75152250 112728375 225456750