Search a number
-
+
123223144 = 23112322647
BaseRepresentation
bin1110101100000…
…11110001101000
322120212101101011
413112003301220
5223021120034
620121033304
73024244102
oct726036150
9276771334
10123223144
1163613410
1235325834
131c6b5005
1412518572
15ac40864
hex7583c68

123223144 has 48 divisors (see below), whose sum is σ = 263581920. Its totient is φ = 53555040.

The previous prime is 123223103. The next prime is 123223181. The reversal of 123223144 is 441322321.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 45229 + ... + 47875.

It is an arithmetic number, because the mean of its divisors is an integer number (5491290).

Almost surely, 2123223144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131790960).

123223144 is an abundant number, since it is smaller than the sum of its proper divisors (140358776).

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

123223144 is a wasteful number, since it uses less digits than its factorization.

123223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2683 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 123223144 is about 11100.5920562824. The cubic root of 123223144 is about 497.6195435058.

Adding to 123223144 its reverse (441322321), we get a palindrome (564545465).

The spelling of 123223144 in words is "one hundred twenty-three million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 529 1012 1058 2024 2116 2647 4232 5294 5819 10588 11638 21176 23276 29117 46552 58234 60881 116468 121762 232936 243524 487048 669691 1339382 1400263 2678764 2800526 5357528 5601052 11202104 15402893 30805786 61611572 123223144