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2243321232 = 243411517549
BaseRepresentation
bin1000010110110110…
…0101110110010000
312210100012112012120
42011231211312100
514043242234412
61010334054240
7106406626065
oct20555456620
95710175176
102243321232
11a51329499
1252734a380
132999bbb19
14173d16c6c
15d1e27b8c
hex85b65d90

2243321232 has 80 divisors (see below), whose sum is σ = 5976700800. Its totient is φ = 724608000.

The previous prime is 2243321221. The next prime is 2243321239. The reversal of 2243321232 is 2321233422.

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 not an unprimeable number, because it can be changed into a prime (2243321239) 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, 293394 + ... + 300942.

It is an arithmetic number, because the mean of its divisors is an integer number (74708760).

Almost surely, 22243321232 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 2243321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988350400).

2243321232 is an abundant number, since it is smaller than the sum of its proper divisors (3733379568).

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

2243321232 is a wasteful number, since it uses less digits than its factorization.

2243321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 7746 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2243321232 is about 47363.7121855963. The cubic root of 2243321232 is about 1309.0728696237.

Adding to 2243321232 its reverse (2321233422), we get a palindrome (4564554654).

The spelling of 2243321232 in words is "two billion, two hundred forty-three million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 151 164 246 302 328 453 492 604 656 906 984 1208 1812 1968 2416 3624 6191 7248 7549 12382 15098 18573 22647 24764 30196 37146 45294 49528 60392 74292 90588 99056 120784 148584 181176 297168 309509 362352 619018 928527 1139899 1238036 1857054 2279798 2476072 3419697 3714108 4559596 4952144 6839394 7428216 9119192 13678788 14856432 18238384 27357576 46735859 54715152 93471718 140207577 186943436 280415154 373886872 560830308 747773744 1121660616 2243321232