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2143244400 = 2435211179551
BaseRepresentation
bin111111110111111…
…0101000001110000
312112100220002121020
41333233311001300
513342132310100
6552401055440
7104053163643
oct17757650160
95470802536
102143244400
119aa895270
124b9927580
1328204c36b
14164905a5a
15c825a5a0
hex7fbf5070

2143244400 has 240 divisors, whose sum is σ = 7931063808. Its totient is φ = 488960000.

The previous prime is 2143244381. The next prime is 2143244429. The reversal of 2143244400 is 44423412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219625 + ... + 229175.

Almost surely, 22143244400 is an apocalyptic number.

2143244400 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 2143244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965531904).

2143244400 is an abundant number, since it is smaller than the sum of its proper divisors (5787819408).

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

2143244400 is a wasteful number, since it uses less digits than its factorization.

2143244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2143244400 is about 46295.1876548740. The cubic root of 2143244400 is about 1289.3096480464.

Adding to 2143244400 its reverse (44423412), we get a palindrome (2187667812).

The spelling of 2143244400 in words is "two billion, one hundred forty-three million, two hundred forty-four thousand, four hundred".