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2330213232 = 24337235461
BaseRepresentation
bin1000101011100100…
…0011101101110000
320000101201002121210
42022321003231300
514233013310412
61023120320120
7111513325404
oct21271035560
96011632553
102330213232
11a96387766
12550473040
132b19c31c9
14181695104
15d988d83c
hex8ae43b70

2330213232 has 60 divisors (see below), whose sum is σ = 6186984216. Its totient is φ = 755723520.

The previous prime is 2330213231. The next prime is 2330213251. The reversal of 2330213232 is 2323120332.

It is a super-3 number, since 3×23302132323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2330213199 and 2330213208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330213231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47982 + ... + 83442.

Almost surely, 22330213232 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 2330213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093492108).

2330213232 is an abundant number, since it is smaller than the sum of its proper divisors (3856770984).

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

2330213232 is a wasteful number, since it uses less digits than its factorization.

2330213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35546 (or 35503 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2330213232 is about 48272.2822331822. The cubic root of 2330213232 is about 1325.7609455100.

Adding to 2330213232 its reverse (2323120332), we get a palindrome (4653333564).

The spelling of 2330213232 in words is "two billion, three hundred thirty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1369 1776 2738 4107 5476 8214 10952 16428 21904 32856 35461 65712 70922 106383 141844 212766 283688 425532 567376 851064 1312057 1702128 2624114 3936171 5248228 7872342 10496456 15744684 20992912 31489368 48546109 62978736 97092218 145638327 194184436 291276654 388368872 582553308 776737744 1165106616 2330213232