Search a number
-
+
123122232 = 233210116931
BaseRepresentation
bin1110101011010…
…11001000111000
322120200020221200
413111223020320
5223004402412
620114534200
73023343642
oct725531070
9276606850
10123122232
1163554612
1235297360
131c67b0bc
14124cd892
15ac209dc
hex756b238

123122232 has 48 divisors (see below), whose sum is σ = 336777480. Its totient is φ = 40632000.

The previous prime is 123122231. The next prime is 123122239. The reversal of 123122232 is 232221321.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (123122231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194 + ... + 15737.

Almost surely, 2123122232 is an apocalyptic number.

123122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168388740).

123122232 is an abundant number, since it is smaller than the sum of its proper divisors (213655248).

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

123122232 is a wasteful number, since it uses less digits than its factorization.

123122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17044 (or 17037 counting only the distinct ones).

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

The square root of 123122232 is about 11096.0457821694. The cubic root of 123122232 is about 497.4836667112.

Adding to 123122232 its reverse (232221321), we get a palindrome (355343553).

The spelling of 123122232 in words is "one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 16931 33862 50793 67724 101586 135448 152379 203172 304758 406344 609516 1219032 1710031 3420062 5130093 6840124 10260186 13680248 15390279 20520372 30780558 41040744 61561116 123122232