Search a number
-
+
312212124 = 22337258997
BaseRepresentation
bin10010100110111…
…111101010011100
3210202111000112000
4102212333222130
51114411241444
650551442300
710510521300
oct2246775234
9722430460
10312212124
11150265654
1288686390
134c8b5503
142d671d00
151c622469
hex129bfa9c

312212124 has 72 divisors (see below), whose sum is σ = 941608080. Its totient is φ = 89201952.

The previous prime is 312212119. The next prime is 312212137. The reversal of 312212124 is 421212213.

It is a happy number.

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.

It is a junction number, because it is equal to n+sod(n) for n = 312212097 and 312212106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24207 + ... + 34790.

It is an arithmetic number, because the mean of its divisors is an integer number (13077890).

Almost surely, 2312212124 is an apocalyptic number.

It is an amenable number.

312212124 is an abundant number, since it is smaller than the sum of its proper divisors (629395956).

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

312212124 is a wasteful number, since it uses less digits than its factorization.

312212124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59024 (or 59009 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 312212124 is about 17669.5252907372. The cubic root of 312212124 is about 678.3959626137.

Adding to 312212124 its reverse (421212213), we get a palindrome (733424337).

The spelling of 312212124 in words is "three hundred twelve million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 58997 117994 176991 235988 353982 412979 530973 707964 825958 1061946 1238937 1592919 1651916 2123892 2477874 2890853 3185838 3716811 4955748 5781706 6371676 7433622 8672559 11150433 11563412 14867244 17345118 22300866 26017677 34690236 44601732 52035354 78053031 104070708 156106062 312212124