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2243112432 = 243114248319
BaseRepresentation
bin1000010110110011…
…0010110111110000
312210022210220210020
42011230302313300
514043214044212
61010325403440
7106405066251
oct20554626760
95708726706
102243112432
11a511a6630
12527269580
13299947a82
14173ca0b28
15d1dd5d8c
hex85b32df0

2243112432 has 40 divisors (see below), whose sum is σ = 6321500160. Its totient is φ = 679730880.

The previous prime is 2243112427. The next prime is 2243112439. The reversal of 2243112432 is 2342113422.

It is a happy number.

2243112432 is digitally balanced in base 2, 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 (2243112439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2123632 + ... + 2124687.

It is an arithmetic number, because the mean of its divisors is an integer number (158037504).

Almost surely, 22243112432 is an apocalyptic number.

2243112432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2243112432 is an abundant number, since it is smaller than the sum of its proper divisors (4078387728).

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

2243112432 is a wasteful number, since it uses less digits than its factorization.

2243112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248341 (or 4248335 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2243112432 is about 47361.5079151836. The cubic root of 2243112432 is about 1309.0322538183.

Adding to 2243112432 its reverse (2342113422), we get a palindrome (4585225854).

The spelling of 2243112432 in words is "two billion, two hundred forty-three million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4248319 8496638 12744957 16993276 25489914 33986552 46731509 50979828 67973104 93463018 101959656 140194527 186926036 203919312 280389054 373852072 560778108 747704144 1121556216 2243112432