Search a number
-
+
415226031 = 31129433883
BaseRepresentation
bin11000101111111…
…101100010101111
31001221022200000220
4120233331202233
51322244213111
6105111422423
713201235343
oct3057754257
91057280026
10415226031
111a3425510
12b7084a13
1368042a9c
143d209623
15266bee06
hex18bfd8af

415226031 has 16 divisors (see below), whose sum is σ = 624792960. Its totient is φ = 242973920.

The previous prime is 415225999. The next prime is 415226033. The reversal of 415226031 is 130622514.

It is a cyclic number.

It is not a de Polignac number, because 415226031 - 25 = 415225999 is a prime.

It is a super-2 number, since 2×4152260312 = 344825313640025922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415225992 and 415226010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415226033) 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 15 ways as a sum of consecutive naturals, for example, 215985 + ... + 217898.

It is an arithmetic number, because the mean of its divisors is an integer number (39049560).

Almost surely, 2415226031 is an apocalyptic number.

415226031 is a deficient number, since it is larger than the sum of its proper divisors (209566929).

415226031 is a wasteful number, since it uses less digits than its factorization.

415226031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433926.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 415226031 is about 20377.0957449780. The cubic root of 415226031 is about 746.0389875572.

Adding to 415226031 its reverse (130622514), we get a palindrome (545848545).

The spelling of 415226031 in words is "four hundred fifteen million, two hundred twenty-six thousand, thirty-one".

Divisors: 1 3 11 29 33 87 319 957 433883 1301649 4772713 12582607 14318139 37747821 138408677 415226031