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225060198 = 231123173857
BaseRepresentation
bin11010110101000…
…10010101100110
3120200111020112220
431122202111212
5430103411243
634155453210
75401660116
oct1532422546
9520436486
10225060198
1110604a070
1263457206
133781ca1c
1421c67046
1514b59783
hexd6a2566

225060198 has 64 divisors (see below), whose sum is σ = 515953152. Its totient is φ = 64782080.

The previous prime is 225060197. The next prime is 225060203. The reversal of 225060198 is 891060522.

225060198 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225060191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262186 + ... + 263042.

It is an arithmetic number, because the mean of its divisors is an integer number (8061768).

Almost surely, 2225060198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225060198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257976576).

225060198 is an abundant number, since it is smaller than the sum of its proper divisors (290892954).

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

225060198 is a wasteful number, since it uses less digits than its factorization.

225060198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 225060198 is about 15002.0064658032. The cubic root of 225060198 is about 608.2744371496.

The spelling of 225060198 in words is "two hundred twenty-five million, sixty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 173 253 346 506 519 759 857 1038 1518 1714 1903 2571 3806 3979 5142 5709 7958 9427 11418 11937 18854 19711 23874 28281 39422 43769 56562 59133 87538 118266 131307 148261 216821 262614 296522 433642 444783 650463 889566 1300926 1630871 3261742 3410003 4892613 6820006 9785226 10230009 20460018 37510033 75020066 112530099 225060198