Search a number
-
+
31106220 = 22353111667
BaseRepresentation
bin111011010101…
…0010010101100
32011112100201020
41312222102230
530430344340
63030414140
7525253455
oct166522254
964470636
1031106220
1116616622
12a501350
1365a1662
1441ba12c
152ae69d0
hex1daa4ac

31106220 has 48 divisors (see below), whose sum is σ = 87429888. Its totient is φ = 8263360.

The previous prime is 31106219. The next prime is 31106221. The reversal of 31106220 is 2260113.

It is an interprime number because it is at equal distance from previous prime (31106219) and next prime (31106221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31106220.

It is not an unprimeable number, because it can be changed into a prime (31106221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17827 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (1821456).

Almost surely, 231106220 is an apocalyptic number.

31106220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31106220 is an abundant number, since it is smaller than the sum of its proper divisors (56323668).

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

31106220 is a wasteful number, since it uses less digits than its factorization.

31106220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31106220 is about 5577.2950432983. The cubic root of 31106220 is about 314.4964491820.

Adding to 31106220 its reverse (2260113), we get a palindrome (33366333).

The spelling of 31106220 in words is "thirty-one million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1667 1866 3110 3334 3732 4665 5001 6220 6668 8335 9330 10002 16670 18660 20004 25005 33340 50010 100020 518437 1036874 1555311 2073748 2592185 3110622 5184370 6221244 7776555 10368740 15553110 31106220