Search a number
-
+
2324223444 = 22329431271223
BaseRepresentation
bin1000101010001000…
…1101010111010100
312222222102210011210
42022202031113110
514230000122234
61022344101420
7111411400434
oct21242152724
95888383153
102324223444
11a92a66524
1254a464870
132b06a6a5a
141809762c4
15d90a8be9
hex8a88d5d4

2324223444 has 96 divisors (see below), whose sum is σ = 5790597120. Its totient is φ = 724284288.

The previous prime is 2324223427. The next prime is 2324223449. The reversal of 2324223444 is 4443224232.

It is a super-2 number, since 2×23242234442 = 10804029235278442272, which contains 22 as substring.

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 (2324223449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899817 + ... + 1901039.

It is an arithmetic number, because the mean of its divisors is an integer number (60318720).

Almost surely, 22324223444 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 2324223444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895298560).

2324223444 is an abundant number, since it is smaller than the sum of its proper divisors (3466373676).

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

2324223444 is a wasteful number, since it uses less digits than its factorization.

2324223444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1427 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2324223444 is about 48210.2006218601. The cubic root of 2324223444 is about 1324.6240193932.

Adding to 2324223444 its reverse (4443224232), we get a palindrome (6767447676).

The spelling of 2324223444 in words is "two billion, three hundred twenty-four million, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 127 129 172 174 254 258 348 381 508 516 762 1223 1247 1524 2446 2494 3669 3683 3741 4892 4988 5461 7338 7366 7482 10922 11049 14676 14732 14964 16383 21844 22098 32766 35467 44196 52589 65532 70934 105178 106401 141868 155321 157767 158369 210356 212802 310642 315534 316738 425604 465963 475107 621284 631068 633476 931926 950214 1525081 1863852 1900428 3050162 4504309 4575243 6100324 6678803 9008618 9150486 13357606 13512927 18017236 18300972 20036409 26715212 27025854 40072818 54051708 80145636 193685287 387370574 581055861 774741148 1162111722 2324223444