Search a number
-
+
225101610 = 23253078147
BaseRepresentation
bin11010110101011…
…00011100101010
3120200120100100200
431122230130222
5430111222420
634200413030
75402221626
oct1532543452
9520510320
10225101610
11106078198
1263477176
1337835826
1421c78186
1514b66b90
hexd6ac72a

225101610 has 48 divisors (see below), whose sum is σ = 587242656. Its totient is φ = 59824224.

The previous prime is 225101609. The next prime is 225101647. The reversal of 225101610 is 16101522.

225101610 is a `hidden beast` number, since 2 + 2 + 51 + 0 + 1 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23557 + ... + 31703.

It is an arithmetic number, because the mean of its divisors is an integer number (12234222).

Almost surely, 2225101610 is an apocalyptic number.

225101610 is an abundant number, since it is smaller than the sum of its proper divisors (362141046).

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

225101610 is a wasteful number, since it uses less digits than its factorization.

225101610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 225101610 is about 15003.3866176940. The cubic root of 225101610 is about 608.3117431924.

The spelling of 225101610 in words is "two hundred twenty-five million, one hundred one thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 307 614 921 1535 1842 2763 3070 4605 5526 8147 9210 13815 16294 24441 27630 40735 48882 73323 81470 122205 146646 244410 366615 733230 2501129 5002258 7503387 12505645 15006774 22510161 25011290 37516935 45020322 75033870 112550805 225101610