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232122144 = 2532417939
BaseRepresentation
bin11011101010111…
…10011100100000
3121011210000201110
431311132130200
5433410402034
635011103320
75516001642
oct1565363440
9534700643
10232122144
1110a032891
12658a1b40
13391231a7
1422b84892
15155a1de9
hexdd5e720

232122144 has 24 divisors (see below), whose sum is σ = 609320880. Its totient is φ = 77374016.

The previous prime is 232122133. The next prime is 232122167. The reversal of 232122144 is 441221232.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232122144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1208874 + ... + 1209065.

It is an arithmetic number, because the mean of its divisors is an integer number (25388370).

Almost surely, 2232122144 is an apocalyptic number.

232122144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232122144 is an abundant number, since it is smaller than the sum of its proper divisors (377198736).

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

232122144 is a wasteful number, since it uses less digits than its factorization.

232122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417952 (or 2417944 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 232122144 is about 15235.5552573577. Note that the first 3 decimals coincide. The cubic root of 232122144 is about 614.5711810075.

Adding to 232122144 its reverse (441221232), we get a palindrome (673343376).

The spelling of 232122144 in words is "two hundred thirty-two million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2417939 4835878 7253817 9671756 14507634 19343512 29015268 38687024 58030536 77374048 116061072 232122144