Search a number
-
+
122230332 = 22327485041
BaseRepresentation
bin1110100100100…
…01011000111100
322111222221111100
413102101120330
5222242332312
620043453100
73012640440
oct722213074
9274887440
10122230332
1162aa5504
1234b27190
131c428153
141233a820
15aae65dc
hex749163c

122230332 has 36 divisors (see below), whose sum is σ = 353110576. Its totient is φ = 34922880.

The previous prime is 122230321. The next prime is 122230333. The reversal of 122230332 is 233032221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122230333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242269 + ... + 242772.

Almost surely, 2122230332 is an apocalyptic number.

122230332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122230332 is an abundant number, since it is smaller than the sum of its proper divisors (230880244).

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

122230332 is a wasteful number, since it uses less digits than its factorization.

122230332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485058 (or 485053 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 122230332 is about 11055.7827402676. The cubic root of 122230332 is about 496.2794936651.

Adding to 122230332 its reverse (233032221), we get a palindrome (355262553).

The spelling of 122230332 in words is "one hundred twenty-two million, two hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 485041 970082 1455123 1940164 2910246 3395287 4365369 5820492 6790574 8730738 10185861 13581148 17461476 20371722 30557583 40743444 61115166 122230332