Search a number
-
+
2329229232 = 2432112815233
BaseRepresentation
bin1000101011010101…
…0011011110110000
320000022212002211100
42022311103132300
514232240313412
61023043244400
7111502056531
oct21265233660
96008762740
102329229232
11a95875440
12550079700
132b173a365
141814ba688
15d9746edc
hex8ad537b0

2329229232 has 120 divisors (see below), whose sum is σ = 7137877968. Its totient is φ = 703180800.

The previous prime is 2329229219. The next prime is 2329229261.

2329229232 is nontrivially palindromic in base 10.

2329229232 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 Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442488 + ... + 447720.

Almost surely, 22329229232 is an apocalyptic number.

2329229232 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 2329229232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568938984).

2329229232 is an abundant number, since it is smaller than the sum of its proper divisors (4808648736).

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

2329229232 is a wasteful number, since it uses less digits than its factorization.

2329229232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5530 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2329229232 is about 48262.0889726087. The cubic root of 2329229232 is about 1325.5743055889.

The spelling of 2329229232 in words is "two billion, three hundred twenty-nine million, two hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 281 396 528 562 792 843 1124 1584 1686 2248 2529 3091 3372 4496 5058 5233 6182 6744 9273 10116 10466 12364 13488 15699 18546 20232 20932 24728 27819 31398 37092 40464 41864 47097 49456 55638 57563 62796 74184 83728 94194 111276 115126 125592 148368 172689 188388 222552 230252 251184 345378 376776 445104 460504 518067 690756 753552 921008 1036134 1381512 1470473 2072268 2763024 2940946 4144536 4411419 5881892 8289072 8822838 11763784 13234257 16175203 17645676 23527568 26468514 32350406 35291352 48525609 52937028 64700812 70582704 97051218 105874056 129401624 145576827 194102436 211748112 258803248 291153654 388204872 582307308 776409744 1164614616 2329229232