[go: up one dir, main page]

Search a number
-
+
31226112 = 283213553
BaseRepresentation
bin111011100011…
…1100100000000
32011202110011200
41313013210000
530443213422
63033141200
7526263141
oct167074400
964673150
1031226112
1116698705
12a55a800
1366140b8
14420bac8
152b1c2ac
hex1dc7900

31226112 has 54 divisors (see below), whose sum is σ = 90039222. Its totient is φ = 10407936.

The previous prime is 31226089. The next prime is 31226119. The reversal of 31226112 is 21162213.

31226112 is a `hidden beast` number, since 31 + 22 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29419776 + 1806336 = 5424^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (31226119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4473 + ... + 9080.

It is an arithmetic number, because the mean of its divisors is an integer number (1667393).

Almost surely, 231226112 is an apocalyptic number.

31226112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31226112 is an abundant number, since it is smaller than the sum of its proper divisors (58813110).

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

31226112 is a wasteful number, since it uses less digits than its factorization.

31226112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575 (or 13558 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 31226112 is about 5588.0329276052. The cubic root of 31226112 is about 314.8999833639.

Adding to 31226112 its reverse (21162213), we get a palindrome (52388325).

The spelling of 31226112 in words is "thirty-one million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 13553 27106 40659 54212 81318 108424 121977 162636 216848 243954 325272 433696 487908 650544 867392 975816 1301088 1734784 1951632 2602176 3469568 3903264 5204352 7806528 10408704 15613056 31226112