Search a number
-
+
122322213 = 32135571877
BaseRepresentation
bin1110100101001…
…11110100100101
322112011121112100
413102213310211
5222303302323
620045442313
73013502346
oct722476445
9275147470
10122322213
1163058542
1234b70399
131c45ac10
14123620cd
15ab13943
hex74a7d25

122322213 has 24 divisors (see below), whose sum is σ = 190722168. Its totient is φ = 75100032.

The previous prime is 122322199. The next prime is 122322227. The reversal of 122322213 is 312223221.

It is an interprime number because it is at equal distance from previous prime (122322199) and next prime (122322227).

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 122279364 = 207^2 + 11058^2 .

It is not a de Polignac number, because 122322213 - 24 = 122322197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322283) 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, 64231 + ... + 66107.

It is an arithmetic number, because the mean of its divisors is an integer number (7946757).

Almost surely, 2122322213 is an apocalyptic number.

122322213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122322213 is a deficient number, since it is larger than the sum of its proper divisors (68399955).

122322213 is a wasteful number, since it uses less digits than its factorization.

122322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2450 counting only the distinct ones).

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

The square root of 122322213 is about 11059.9372963864. The cubic root of 122322213 is about 496.4038142398.

Adding to 122322213 its reverse (312223221), we get a palindrome (434545434).

It can be divided in two parts, 1223 and 22213, that added together give a triangular number (23436 = T216).

The spelling of 122322213 in words is "one hundred twenty-two million, three hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 557 1671 1877 5013 5631 7241 16893 21723 24401 65169 73203 219609 1045489 3136467 9409401 13591357 40774071 122322213