Search a number
-
+
225734051507 = 193137594192
BaseRepresentation
bin1101001000111011001…
…1000100011010110011
3210120122210102221200012
43102032303010122303
512144300404122012
6251411212045135
722210620531146
oct3221663043263
9716583387605
10225734051507
1187807a94a68
12378b9a637ab
1318395957ba3
14acd5b4805d
155d127e3622
hex348ecc46b3

225734051507 has 48 divisors (see below), whose sum is σ = 256791475200. Its totient is φ = 197476107840.

The previous prime is 225734051497. The next prime is 225734051533. The reversal of 225734051507 is 705150437522.

225734051507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225734051507 - 214 = 225734035123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225734051107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538744544 + ... + 538744962.

It is an arithmetic number, because the mean of its divisors is an integer number (5349822400).

Almost surely, 2225734051507 is an apocalyptic number.

225734051507 is a deficient number, since it is larger than the sum of its proper divisors (31057423693).

225734051507 is an equidigital number, since it uses as much as digits as its factorization.

225734051507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The spelling of 225734051507 in words is "two hundred twenty-five billion, seven hundred thirty-four million, fifty-one thousand, five hundred seven".

Divisors: 1 19 31 37 59 419 589 703 1121 1147 1829 2183 7961 12989 15503 21793 24721 34751 41477 67673 175561 246791 294557 469699 480593 766351 914677 1285787 3335659 5442391 6495757 9131267 10358099 14560669 17378863 28354987 103405429 123419383 196803881 201368467 321101069 383249663 538744753 3826000873 6100920311 7281743597 11880739553 225734051507