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225150450 = 23527239323
BaseRepresentation
bin11010110101110…
…00010111110010
3120200122211100120
431122320113302
5430114303300
634201431110
75402514210
oct1532702762
9520584316
10225150450
11106100958
126349b496
1337851b25
1421c8bcb0
1514b763a0
hexd6b85f2

225150450 has 96 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 49220160.

The previous prime is 225150421. The next prime is 225150467. The reversal of 225150450 is 54051522.

It is a happy number.

225150450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225150450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19489 + ... + 28811.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2225150450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225150450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

225150450 is an abundant number, since it is smaller than the sum of its proper divisors (440806926).

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

225150450 is a wasteful number, since it uses less digits than its factorization.

225150450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 225150450 is about 15005.0141619393. The cubic root of 225150450 is about 608.3557348770.

The spelling of 225150450 in words is "two hundred twenty-five million, one hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 138 150 161 175 210 230 322 345 350 483 525 575 690 805 966 1050 1150 1610 1725 2415 3450 4025 4830 8050 9323 12075 18646 24150 27969 46615 55938 65261 93230 130522 139845 195783 214429 233075 279690 326305 391566 428858 466150 643287 652610 699225 978915 1072145 1286574 1398450 1501003 1631525 1957830 2144290 3002006 3216435 3263050 4503009 4894575 5360725 6432870 7505015 9006018 9789150 10721450 15010030 16082175 22515045 32164350 37525075 45030090 75050150 112575225 225150450