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225531054 = 2347238647
BaseRepresentation
bin11010111000101…
…01010010101110
3120201101011110000
431130111102232
5430213443204
634213525130
75405660640
oct1534252256
9521334400
10225531054
11106340901
12636437a6
1337956138
1421d4a890
1514bee039
hexd7154ae

225531054 has 80 divisors (see below), whose sum is σ = 602731008. Its totient is φ = 61628688.

The previous prime is 225531043. The next prime is 225531101. The reversal of 225531054 is 450135522.

It is a happy number.

225531054 is a `hidden beast` number, since 2 + 2 + 553 + 105 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21759 + ... + 30405.

Almost surely, 2225531054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225531054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301365504).

225531054 is an abundant number, since it is smaller than the sum of its proper divisors (377199954).

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

225531054 is a wasteful number, since it uses less digits than its factorization.

225531054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225531054 is about 15017.6913671842. The cubic root of 225531054 is about 608.6983387946.

Adding to 225531054 its reverse (450135522), we get a palindrome (675666576).

The spelling of 225531054 in words is "two hundred twenty-five million, five hundred thirty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2898 3726 4347 8647 8694 13041 17294 25941 26082 51882 60529 77823 121058 155646 181587 198881 233469 363174 397762 466938 544761 596643 700407 1089522 1193286 1392167 1400814 1634283 1789929 2784334 3268566 3579858 4176501 4902849 5369787 8353002 9805698 10739574 12529503 16109361 25059006 32218722 37588509 75177018 112765527 225531054