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2243414112 = 2531723591013
BaseRepresentation
bin1000010110110111…
…1100100001100000
312210100101020121120
42011231330201200
514043303222422
61010340052240
7106410463632
oct20555744140
95710336546
102243414112
11a51392255
12527394080
13299a22194
14173d3ca52
15d1e4545c
hex85b7c860

2243414112 has 192 divisors, whose sum is σ = 6623285760. Its totient is φ = 661151744.

The previous prime is 2243414111. The next prime is 2243414123. The reversal of 2243414112 is 2114143422.

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 (2243414111) 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, 2214118 + ... + 2215130.

It is an arithmetic number, because the mean of its divisors is an integer number (34496280).

Almost surely, 22243414112 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 2243414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311642880).

2243414112 is an abundant number, since it is smaller than the sum of its proper divisors (4379871648).

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

2243414112 is a wasteful number, since it uses less digits than its factorization.

2243414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1117 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2243414112 is about 47364.6926729183. The cubic root of 2243414112 is about 1309.0909358446.

Adding to 2243414112 its reverse (2114143422), we get a palindrome (4357557534).

The spelling of 2243414112 in words is "two billion, two hundred forty-three million, four hundred fourteen thousand, one hundred twelve".