Search a number
-
+
225126341220 = 2235111117330529
BaseRepresentation
bin1101000110101010010…
…0110101101001100100
3210112002102221001212210
43101222210311221210
512142024320404340
6251231022443420
722156561220064
oct3215244655144
9715072831783
10225126341220
1187525a50260
123776a433570
13182c9a8c9c1
14ac791553a4
155cc92a1180
hex346a935a64

225126341220 has 96 divisors (see below), whose sum is σ = 687742715520. Its totient is φ = 54569410560.

The previous prime is 225126341197. The next prime is 225126341227. The reversal of 225126341220 is 22143621522.

It is a super-2 number, since 2×2251263412202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225126341227) 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, 7358916 + ... + 7389444.

It is an arithmetic number, because the mean of its divisors is an integer number (7163986620).

Almost surely, 2225126341220 is an apocalyptic number.

225126341220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225126341220 is an abundant number, since it is smaller than the sum of its proper divisors (462616374300).

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

225126341220 is a wasteful number, since it uses less digits than its factorization.

225126341220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41725 (or 41723 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 225126341220 its reverse (22143621522), we get a palindrome (247269962742).

The spelling of 225126341220 in words is "two hundred twenty-five billion, one hundred twenty-six million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 11173 22346 30529 33519 44692 55865 61058 67038 91587 111730 122116 122903 134076 152645 167595 183174 223460 245806 305290 335190 335819 366348 368709 457935 491612 610580 614515 670380 671638 737418 915870 1007457 1229030 1343276 1474836 1679095 1831740 1843545 2014914 2458060 3358190 3687090 4029828 5037285 6716380 7374180 10074570 20149140 341100517 682201034 1023301551 1364402068 1705502585 2046603102 3411005170 3752105687 4093206204 5116507755 6822010340 7504211374 10233015510 11256317061 15008422748 18760528435 20466031020 22512634122 37521056870 45025268244 56281585305 75042113740 112563170610 225126341220