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2033230232 = 2311314317333
BaseRepresentation
bin111100100110000…
…1010000110011000
312020200212210112102
41321030022012120
513131001331412
6533431102532
7101246112635
oct17114120630
95220783472
102033230232
11953783a70
12488b11a48
13265310717
1415406918c
15bd7788c2
hex7930a198

2033230232 has 64 divisors (see below), whose sum is σ = 4393128960. Its totient is φ = 873532800.

The previous prime is 2033230231. The next prime is 2033230247. The reversal of 2033230232 is 2320323302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033230231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108638 + ... + 125970.

It is an arithmetic number, because the mean of its divisors is an integer number (68642640).

Almost surely, 22033230232 is an apocalyptic number.

2033230232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196564480).

2033230232 is an abundant number, since it is smaller than the sum of its proper divisors (2359898728).

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

2033230232 is a wasteful number, since it uses less digits than its factorization.

2033230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17424 (or 17420 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2033230232 is about 45091.3542932567. The cubic root of 2033230232 is about 1266.8606679155.

Adding to 2033230232 its reverse (2320323302), we get a palindrome (4353553534).

The spelling of 2033230232 in words is "two billion, thirty-three million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 124 172 248 341 344 473 682 946 1333 1364 1892 2666 2728 3784 5332 10664 14663 17333 29326 34666 58652 69332 117304 138664 190663 381326 537323 745319 762652 1074646 1490638 1525304 2149292 2981276 4298584 5910553 5962552 8198509 11821106 16397018 23104889 23642212 32794036 46209778 47284424 65588072 92419556 184839112 254153779 508307558 1016615116 2033230232