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225219036 = 223723432711
BaseRepresentation
bin11010110110010…
…01000111011100
3120200210022102210
431123021013130
5430124002121
634203120420
75403221160
oct1533110734
9520708383
10225219036
11106148439
1263513110
1337877103
1421ca8ca0
1514b8b876
hexd6c91dc

225219036 has 96 divisors (see below), whose sum is σ = 641507328. Its totient is φ = 60096960.

The previous prime is 225219031. The next prime is 225219091. The reversal of 225219036 is 630912522.

It is a super-2 number, since 2×2252190362 = 101447228353538592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225218994 and 225219012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225219031) 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, 81721 + ... + 84431.

It is an arithmetic number, because the mean of its divisors is an integer number (6682368).

Almost surely, 2225219036 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 225219036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320753664).

225219036 is an abundant number, since it is smaller than the sum of its proper divisors (416288292).

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

225219036 is a wasteful number, since it uses less digits than its factorization.

225219036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 225219036 is about 15007.2994239470. The cubic root of 225219036 is about 608.4175016502.

The spelling of 225219036 in words is "two hundred twenty-five million, two hundred nineteen thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 172 258 276 301 322 483 516 602 644 903 966 989 1204 1806 1932 1978 2711 2967 3612 3956 5422 5934 6923 8133 10844 11868 13846 16266 18977 20769 27692 32532 37954 41538 56931 62353 75908 83076 113862 116573 124706 187059 227724 233146 249412 349719 374118 436471 466292 699438 748236 816011 872942 1309413 1398876 1632022 1745884 2448033 2618826 2681179 3264044 4896066 5237652 5362358 8043537 9792132 10724716 16087074 18768253 32174148 37536506 56304759 75073012 112609518 225219036