Search a number
-
+
23222124 = 2232647997
BaseRepresentation
bin101100010010…
…1011101101100
31121200210202200
41120211131230
521421101444
62145421500
7401245662
oct130453554
947623680
1023222124
1112121142
12793a890
134a70c03
143126c32
15208a969
hex162576c

23222124 has 36 divisors (see below), whose sum is σ = 58850064. Its totient is φ = 7720992.

The previous prime is 23222099. The next prime is 23222137. The reversal of 23222124 is 42122232.

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 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 = 23222097 and 23222106.

It is a congruent number.

It is an unprimeable number.

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, 22794 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (1634724).

Almost surely, 223222124 is an apocalyptic number.

It is an amenable number.

23222124 is an abundant number, since it is smaller than the sum of its proper divisors (35627940).

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

23222124 is a wasteful number, since it uses less digits than its factorization.

23222124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1649 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 23222124 is about 4818.9339069964. The cubic root of 23222124 is about 285.2992609085.

Adding to 23222124 its reverse (42122232), we get a palindrome (65344356).

The spelling of 23222124 in words is "twenty-three million, two hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 647 997 1294 1941 1994 2588 2991 3882 3988 5823 5982 7764 8973 11646 11964 17946 23292 35892 645059 1290118 1935177 2580236 3870354 5805531 7740708 11611062 23222124