Search a number
-
+
225104435112 = 23319227195873
BaseRepresentation
bin1101000110100101000…
…1010001011110101000
3210112000220201010100110
43101221101101132220
512142003213410422
6251224521134320
722156204061634
oct3215121213650
9715026633313
10225104435112
1187514648937
123776302a3a0
13182c538cacb
14ac76291dc4
155cc73c560c
hex34694517a8

225104435112 has 96 divisors (see below), whose sum is σ = 596136862080. Its totient is φ = 70822563840.

The previous prime is 225104435081. The next prime is 225104435147. The reversal of 225104435112 is 211534401522.

It is a self number, because there is not a number n which added to its sum of digits gives 225104435112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2300008 + ... + 2395880.

It is an arithmetic number, because the mean of its divisors is an integer number (6209758980).

Almost surely, 2225104435112 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 225104435112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298068431040).

225104435112 is an abundant number, since it is smaller than the sum of its proper divisors (371032426968).

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

225104435112 is a wasteful number, since it uses less digits than its factorization.

225104435112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96191 (or 96168 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 225104435112 its reverse (211534401522), we get a palindrome (436638836634).

The spelling of 225104435112 in words is "two hundred twenty-five billion, one hundred four million, four hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 271 361 456 542 722 813 1083 1084 1444 1626 2166 2168 2888 3252 4332 5149 6504 8664 10298 15447 20596 30894 41192 61788 95873 97831 123576 191746 195662 287619 293493 383492 391324 575238 586986 766984 782648 1150476 1173972 1821587 2300952 2347944 3643174 5464761 7286348 10929522 14572696 21859044 25981583 34610153 43718088 51963166 69220306 77944749 103830459 103926332 138440612 155889498 207660918 207852664 276881224 311778996 415321836 493650077 623557992 830643672 987300154 1480950231 1974600308 2961900462 3949200616 5923800924 9379351463 11847601848 18758702926 28138054389 37517405852 56276108778 75034811704 112552217556 225104435112