Search a number
-
+
225024209892 = 223319311935159
BaseRepresentation
bin1101000110010001111…
…1001111001111100100
3210111211022202021001000
43101210133033033210
512141322144204032
6251212533433300
722154211140106
oct3214437171744
9714738667030
10225024209892
11874833334a9
123774019b830
13182b1881071
14ac6976b576
155cc0329e7c
hex34647cf3e4

225024209892 has 96 divisors (see below), whose sum is σ = 614315520000. Its totient is φ = 71035473312.

The previous prime is 225024209869. The next prime is 225024209929. The reversal of 225024209892 is 298902420522.

225024209892 is a `hidden beast` number, since 2 + 2 + 50 + 2 + 420 + 98 + 92 = 666.

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, 6382609 + ... + 6417767.

It is an arithmetic number, because the mean of its divisors is an integer number (6399120000).

Almost surely, 2225024209892 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 225024209892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307157760000).

225024209892 is an abundant number, since it is smaller than the sum of its proper divisors (389291310108).

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

225024209892 is a wasteful number, since it uses less digits than its factorization.

225024209892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38310 (or 38302 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 225024209892 in words is "two hundred twenty-five billion, twenty-four million, two hundred nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 3119 6238 9357 12476 18714 28071 35159 37428 56142 59261 70318 84213 105477 112284 118522 140636 168426 177783 210954 237044 316431 336852 355566 421908 533349 632862 668021 711132 949293 1066698 1265724 1336042 1600047 1898586 2004063 2133396 2672084 3200094 3797172 4008126 6012189 6400188 8016252 12024378 18036567 24048756 36073134 72146268 109660921 219321842 328982763 438643684 657965526 986948289 1315931052 1973896578 2083557499 2960844867 3947793156 4167114998 5921689734 6250672497 8334229996 11843379468 12501344994 18752017491 25002689988 37504034982 56256052473 75008069964 112512104946 225024209892