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225250300 = 2252111931061
BaseRepresentation
bin11010110110100…
…00101111111100
3120200211220022201
431123100233330
5430131002200
634203521244
75403411262
oct1533205774
9520756281
10225250300
11106169980
1263529224
1337888402
1421cb6432
1514b95c6a
hexd6d0bfc

225250300 has 72 divisors (see below), whose sum is σ = 536496912. Its totient is φ = 81408000.

The previous prime is 225250283. The next prime is 225250313. The reversal of 225250300 is 3052522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211770 + ... + 212830.

It is an arithmetic number, because the mean of its divisors is an integer number (7451346).

Almost surely, 2225250300 is an apocalyptic number.

225250300 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 225250300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268248456).

225250300 is an abundant number, since it is smaller than the sum of its proper divisors (311246612).

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

225250300 is a wasteful number, since it uses less digits than its factorization.

225250300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 225250300 is about 15008.3410142494. The cubic root of 225250300 is about 608.4456530372.

The spelling of 225250300 in words is "two hundred twenty-five million, two hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 550 772 965 1061 1100 1930 2122 2123 3860 4244 4246 4825 5305 8492 9650 10610 10615 11671 19300 21220 21230 23342 26525 42460 46684 53050 53075 58355 106100 106150 116710 204773 212300 233420 291775 409546 583550 819092 1023865 1167100 2047730 2252503 4095460 4505006 5119325 9010012 10238650 11262515 20477300 22525030 45050060 56312575 112625150 225250300