Search a number
-
+
1868121225 = 34523129759
BaseRepresentation
bin110111101011001…
…0100010010001001
311211012012101120000
41233112110102021
512311214334400
6505212153213
764202524365
oct15726242211
94735171500
101868121225
11879562143
12441768809
1323a051699
1413a16a2a5
15ae012600
hex6f594489

1868121225 has 60 divisors (see below), whose sum is σ = 3572152320. Its totient is φ = 964159200.

The previous prime is 1868121221. The next prime is 1868121271. The reversal of 1868121225 is 5221218681.

It is not a de Polignac number, because 1868121225 - 22 = 1868121221 is a prime.

It is a super-2 number, since 2×18681212252 = 6979753822591001250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1868121225.

It is not an unprimeable number, because it can be changed into a prime (1868121221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47896 + ... + 77654.

It is an arithmetic number, because the mean of its divisors is an integer number (59535872).

Almost surely, 21868121225 is an apocalyptic number.

1868121225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1868121225 is a deficient number, since it is larger than the sum of its proper divisors (1704031095).

1868121225 is a wasteful number, since it uses less digits than its factorization.

1868121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29812 (or 29798 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1868121225 is about 43221.7679531969. The cubic root of 1868121225 is about 1231.5962321746.

The spelling of 1868121225 in words is "one billion, eight hundred sixty-eight million, one hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 81 93 135 155 225 279 405 465 675 775 837 1395 2025 2325 2511 4185 6975 12555 20925 29759 62775 89277 148795 267831 446385 743975 803493 922529 1339155 2231925 2410479 2767587 4017465 4612645 6695775 8302761 12052395 13837935 20087325 23063225 24908283 41513805 60261975 69189675 74724849 124541415 207569025 373624245 622707075 1868121225