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2243141400 = 2335231831453
BaseRepresentation
bin1000010110110011…
…1001111100011000
312210022212101112010
42011230321330120
514043221011100
61010330145520
7106405246563
oct20554717430
95708771463
102243141400
11a51216375
125272822a0
13299958006
14173cab4da
15d1dde750
hex85b39f18

2243141400 has 192 divisors, whose sum is σ = 7269534720. Its totient is φ = 571507200.

The previous prime is 2243141399. The next prime is 2243141443. The reversal of 2243141400 is 41413422.

2243141400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543074 + ... + 1544526.

It is an arithmetic number, because the mean of its divisors is an integer number (37862160).

Almost surely, 22243141400 is an apocalyptic number.

2243141400 is a gapful number since it is divisible by the number (20) 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 2243141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634767360).

2243141400 is an abundant number, since it is smaller than the sum of its proper divisors (5026393320).

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

2243141400 is a wasteful number, since it uses less digits than its factorization.

2243141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2243141400 is about 47361.8137321619. The cubic root of 2243141400 is about 1309.0378888284.

Adding to 2243141400 its reverse (41413422), we get a palindrome (2284554822).

The spelling of 2243141400 in words is "two billion, two hundred forty-three million, one hundred forty-one thousand, four hundred".