Search a number
-
+
122313222 = 232191013541
BaseRepresentation
bin1110100101001…
…01101000000110
322112011011012100
413102211220012
5222303010342
620045332530
73013434213
oct722455006
9275134170
10122313222
1163051809
1234b67146
131c456ab5
141235cb0a
15ab10e4c
hex74a5a06

122313222 has 48 divisors (see below), whose sum is σ = 281801520. Its totient is φ = 38232000.

The previous prime is 122313211. The next prime is 122313227. The reversal of 122313222 is 222313221.

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 = 122313195 and 122313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32772 + ... + 36312.

It is an arithmetic number, because the mean of its divisors is an integer number (5870865).

Almost surely, 2122313222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140900760).

122313222 is an abundant number, since it is smaller than the sum of its proper divisors (159488298).

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

122313222 is a wasteful number, since it uses less digits than its factorization.

122313222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3666 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122313222 is about 11059.5308218749. The cubic root of 122313222 is about 496.3916516190.

Adding to 122313222 its reverse (222313221), we get a palindrome (344626443).

Subtracting 122313222 from its reverse (222313221), we obtain a palindrome (99999999).

The spelling of 122313222 in words is "one hundred twenty-two million, three hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 909 1818 1919 3541 3838 5757 7082 10623 11514 17271 21246 31869 34542 63738 67279 134558 201837 357641 403674 605511 715282 1072923 1211022 2145846 3218769 6437538 6795179 13590358 20385537 40771074 61156611 122313222