Search a number
-
+
225174012 = 22373227241
BaseRepresentation
bin11010110101111…
…10000111111100
3120200201000200020
431122332013330
5430121032022
634202132140
75402643000
oct1532760774
9520630606
10225174012
11106117628
12634b1050
133785c77b
1421c96700
1514b7d35c
hexd6be1fc

225174012 has 96 divisors (see below), whose sum is σ = 617971200. Its totient is φ = 63786240.

The previous prime is 225174007. The next prime is 225174041. The reversal of 225174012 is 210471522.

It is a super-2 number, since 2×2251740122 = 101406671360352288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934212 + ... + 934452.

It is an arithmetic number, because the mean of its divisors is an integer number (6437200).

Almost surely, 2225174012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225174012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308985600).

225174012 is an abundant number, since it is smaller than the sum of its proper divisors (392797188).

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

225174012 is a wasteful number, since it uses less digits than its factorization.

225174012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 225174012 is about 15005.7992789455. The cubic root of 225174012 is about 608.3769556175.

The spelling of 225174012 in words is "two hundred twenty-five million, one hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 241 294 343 454 482 588 681 686 723 908 964 1029 1362 1372 1446 1589 1687 2058 2724 2892 3178 3374 4116 4767 5061 6356 6748 9534 10122 11123 11809 19068 20244 22246 23618 33369 35427 44492 47236 54707 66738 70854 77861 82663 109414 133476 141708 155722 164121 165326 218828 233583 247989 311444 328242 330652 382949 467166 495978 656484 765898 934332 991956 1148847 1531796 2297694 2680643 4595388 5361286 8041929 10722572 16083858 18764501 32167716 37529002 56293503 75058004 112587006 225174012