Search a number
-
+
1023233224 = 231337594507
BaseRepresentation
bin111100111111010…
…100110011001000
32122022101122002211
4330333110303020
54043421430344
6245311234504
734233224146
oct7477246310
92568348084
101023233224
114856522a2
12246818a34
13133cb3160
1499c78596
155ec70334
hex3cfd4cc8

1023233224 has 64 divisors (see below), whose sum is σ = 2158430400. Its totient is φ = 451609344.

The previous prime is 1023233219. The next prime is 1023233231. The reversal of 1023233224 is 4223323201.

It is a junction number, because it is equal to n+sod(n) for n = 1023233195 and 1023233204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224779 + ... + 229285.

It is an arithmetic number, because the mean of its divisors is an integer number (33725475).

Almost surely, 21023233224 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 1023233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079215200).

1023233224 is an abundant number, since it is smaller than the sum of its proper divisors (1135197176).

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

1023233224 is a wasteful number, since it uses less digits than its factorization.

1023233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1023233224 is about 31988.0168813260. The cubic root of 1023233224 is about 1007.6851944842.

Adding to 1023233224 its reverse (4223323201), we get a palindrome (5246556425).

The spelling of 1023233224 in words is "one billion, twenty-three million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 59 74 104 118 148 236 296 472 481 767 962 1534 1924 2183 3068 3848 4366 4507 6136 8732 9014 17464 18028 28379 36056 56758 58591 113516 117182 166759 227032 234364 265913 333518 468728 531826 667036 1063652 1334072 2127304 2167867 3456869 4335734 6913738 8671468 9838781 13827476 17342936 19677562 27654952 39355124 78710248 127904153 255808306 511616612 1023233224