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2243442432 = 28371159643
BaseRepresentation
bin1000010110111000…
…0011011100000000
312210100102200110110
42011232003130000
514043310124212
61010340431320
7106410642330
oct20556033400
95710380413
102243442432
11a51401560
125273a8540
13299a3203a
14173d490c0
15d1e4da3c
hex85b83700

2243442432 has 288 divisors, whose sum is σ = 7582095360. Its totient is φ = 571944960.

The previous prime is 2243442431. The next prime is 2243442437. The reversal of 2243442432 is 2342443422.

It is a super-3 number, since 3×22434424323 (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2243442432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243442431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488703 + ... + 3489345.

It is an arithmetic number, because the mean of its divisors is an integer number (26326720).

Almost surely, 22243442432 is an apocalyptic number.

2243442432 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 2243442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791047680).

2243442432 is an abundant number, since it is smaller than the sum of its proper divisors (5338652928).

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

2243442432 is a wasteful number, since it uses less digits than its factorization.

2243442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2243442432 is about 47364.9916288391. The cubic root of 2243442432 is about 1309.0964443088.

Adding to 2243442432 its reverse (2342443422), we get a palindrome (4585885854).

The spelling of 2243442432 in words is "two billion, two hundred forty-three million, four hundred forty-two thousand, four hundred thirty-two".