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225254250 = 233531317151
BaseRepresentation
bin11010110110100…
…01101101101010
3120200212002202000
431123101231222
5430131114000
634203551430
75403425634
oct1533215552
9520762660
10225254250
11106171941
126352b576
133788a150
1421cb7a54
1514b97000
hexd6d1b6a

225254250 has 256 divisors, whose sum is σ = 717050880. Its totient is φ = 51840000.

The previous prime is 225254243. The next prime is 225254257. The reversal of 225254250 is 52452522.

225254250 is a `hidden beast` number, since 22 + 52 + 542 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (225254243) and next prime (225254257).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225254257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1491675 + ... + 1491825.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2225254250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225254250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

225254250 is an abundant number, since it is smaller than the sum of its proper divisors (491796630).

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

225254250 is a wasteful number, since it uses less digits than its factorization.

225254250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 225254250 is about 15008.4726071643. The cubic root of 225254250 is about 608.4492095937.

The spelling of 225254250 in words is "two hundred twenty-five million, two hundred fifty-four thousand, two hundred fifty".