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2230032324 = 22313177311519
BaseRepresentation
bin1000010011101011…
…1001011111000100
312202102012101020210
42010322321133010
514031342013244
61005141155420
7106155650652
oct20472713704
95672171223
102230032324
11a44882323
125229bbb70
13297018270
14172257dd2
15d0ba04b9
hex84eb97c4

2230032324 has 96 divisors (see below), whose sum is σ = 6015098880. Its totient is φ = 636899328.

The previous prime is 2230032323. The next prime is 2230032349. The reversal of 2230032324 is 4232300322.

2230032324 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2230032324.

It is not an unprimeable number, because it can be changed into a prime (2230032323) 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, 187837 + ... + 199355.

It is an arithmetic number, because the mean of its divisors is an integer number (62657280).

Almost surely, 22230032324 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 2230032324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007549440).

2230032324 is an abundant number, since it is smaller than the sum of its proper divisors (3785066556).

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

2230032324 is a wasteful number, since it uses less digits than its factorization.

2230032324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11629 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2230032324 is about 47223.2180606108. The cubic root of 2230032324 is about 1306.4828686305.

Adding to 2230032324 its reverse (4232300322), we get a palindrome (6462332646).

The spelling of 2230032324 in words is "two billion, two hundred thirty million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 73 78 102 146 156 204 219 221 292 438 442 663 876 884 949 1241 1326 1898 2482 2652 2847 3723 3796 4964 5694 7446 11388 11519 14892 16133 23038 32266 34557 46076 48399 64532 69114 96798 138228 149747 193596 195823 299494 391646 449241 587469 598988 783292 840887 898482 1174938 1681774 1796964 2349876 2522661 2545699 3363548 5045322 5091398 7637097 10090644 10182796 10931531 14295079 15274194 21863062 28590158 30548388 32794593 42885237 43726124 57180316 65589186 85770474 131178372 171540948 185836027 371672054 557508081 743344108 1115016162 2230032324