Search a number
-
+
225251631 = 331119179223
BaseRepresentation
bin11010110110100…
…01000100101111
3120200211222011000
431123101010233
5430131023011
634203531343
75403415203
oct1533210457
9520758130
10225251631
1110616a980
1263529b53
1337888bb7
1421cb6b03
1514b96356
hexd6d112f

225251631 has 64 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 128031840.

The previous prime is 225251603. The next prime is 225251657. The reversal of 225251631 is 136152522.

It is a happy number.

225251631 is a `hidden beast` number, since 2 + 2 + 5 + 25 + 1 + 631 = 666.

It is not a de Polignac number, because 225251631 - 27 = 225251503 is a prime.

It is a super-2 number, since 2×2252516312 = 101476594536320322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 225251595 and 225251604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225251681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009986 + ... + 1010208.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2225251631 is an apocalyptic number.

225251631 is a deficient number, since it is larger than the sum of its proper divisors (161820369).

225251631 is a wasteful number, since it uses less digits than its factorization.

225251631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 225251631 is about 15008.3853561934. The cubic root of 225251631 is about 608.4468514663.

The spelling of 225251631 in words is "two hundred twenty-five million, two hundred fifty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 179 209 223 297 513 537 627 669 1611 1881 1969 2007 2453 3401 4237 4833 5643 5907 6021 7359 10203 12711 17721 22077 30609 37411 38133 39917 46607 53163 66231 91827 112233 114399 119751 139821 336699 359253 419463 439087 758423 1010097 1077759 1258389 1317261 2275269 3951783 6825807 8342653 11855349 20477421 25027959 75083877 225251631