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2133233232 = 2431315492207
BaseRepresentation
bin111111100100110…
…1000111001010000
312111200001110212020
41333021220321100
513332101430412
6551402331440
7103602116604
oct17711507120
95450043766
102133233232
119a5177779
124b64b9b80
1327cc556b0
1416345b504
15c742e18c
hex7f268e50

2133233232 has 80 divisors (see below), whose sum is σ = 5941286400. Its totient is φ = 655658496.

The previous prime is 2133233203. The next prime is 2133233237. The reversal of 2133233232 is 2323323312.

2133233232 is digitally balanced in base 4, because in such base 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 (24).

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 (2133233237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965473 + ... + 967679.

It is an arithmetic number, because the mean of its divisors is an integer number (74266080).

Almost surely, 22133233232 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 2133233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970643200).

2133233232 is an abundant number, since it is smaller than the sum of its proper divisors (3808053168).

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

2133233232 is a wasteful number, since it uses less digits than its factorization.

2133233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3774 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 2133233232 is about 46186.9378937379. The cubic root of 2133233232 is about 1287.2990444145.

Adding to 2133233232 its reverse (2323323312), we get a palindrome (4456556544).

The spelling of 2133233232 in words is "two billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1549 2207 3098 4414 4647 6196 6621 8828 9294 12392 13242 17656 18588 20137 24784 26484 28691 35312 37176 40274 52968 57382 60411 74352 80548 86073 105936 114764 120822 161096 172146 229528 241644 322192 344292 459056 483288 688584 966576 1377168 3418643 6837286 10255929 13674572 20511858 27349144 41023716 44442359 54698288 82047432 88884718 133327077 164094864 177769436 266654154 355538872 533308308 711077744 1066616616 2133233232