Search a number
-
+
3117222 = 2321761167
BaseRepresentation
bin1011111001000010100110
312212101000200
423321002212
51244222342
6150451330
735332053
oct13710246
95771020
103117222
11183a019
121063b46
13851b14
145b202a
1541894c
hex2f90a6

3117222 has 48 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 956160.

The previous prime is 3117221. The next prime is 3117223. The reversal of 3117222 is 2227113.

3117222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3117221) and next prime (3117223).

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

It is a junction number, because it is equal to n+sod(n) for n = 3117195 and 3117204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117221) 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 23 ways as a sum of consecutive naturals, for example, 18583 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 23117222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

3117222 is an abundant number, since it is smaller than the sum of its proper divisors (4194810).

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

3117222 is a wasteful number, since it uses less digits than its factorization.

3117222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 3117222 is about 1765.5656317452. The cubic root of 3117222 is about 146.0794900844.

The spelling of 3117222 in words is "three million, one hundred seventeen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 167 183 306 334 366 501 549 1002 1037 1098 1503 2074 2839 3006 3111 5678 6222 8517 9333 10187 17034 18666 20374 25551 30561 51102 61122 91683 173179 183366 346358 519537 1039074 1558611 3117222