Search a number
-
+
2420244442200 = 23352134717093863
BaseRepresentation
bin100011001110000001110…
…011110110110001011000
322120101001222220102212110
4203032001303312301120
5304123130034122300
65051502301512320
7336566625216324
oct43160163666130
98511058812773
102420244442200
1185346898a252
12331086b726a0
131472c70c50a0
14851d75a8984
1542e51d29550
hex23381cf6c58

2420244442200 has 384 divisors, whose sum is σ = 8258771404800. Its totient is φ = 582584862720.

The previous prime is 2420244442199. The next prime is 2420244442223. The reversal of 2420244442200 is 22444420242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626517469 + ... + 626521331.

It is an arithmetic number, because the mean of its divisors is an integer number (21507217200).

Almost surely, 22420244442200 is an apocalyptic number.

2420244442200 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 2420244442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129385702400).

2420244442200 is an abundant number, since it is smaller than the sum of its proper divisors (5838526962600).

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

2420244442200 is a wasteful number, since it uses less digits than its factorization.

2420244442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5651 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2420244442200 its reverse (22444420242), we get a palindrome (2442688862442).

The spelling of 2420244442200 in words is "two trillion, four hundred twenty billion, two hundred forty-four million, four hundred forty-two thousand, two hundred".