Search a number
-
+
2221023400000 = 265544924733
BaseRepresentation
bin100000010100011111010…
…011111001000001000000
321212022211221100220120221
4200110133103321001000
5242342123442300000
64420153555312424
7316315013256316
oct40243723710100
97768757326527
102221023400000
11786a26897629
122ba5482ab714
1313159829c1b2
14796d8b360b6
153cb91e7261a
hex2051f4f9040

2221023400000 has 168 divisors, whose sum is σ = 5521318878600. Its totient is φ = 886394880000.

The previous prime is 2221023399953. The next prime is 2221023400019. The reversal of 2221023400000 is 43201222.

It can be written as a sum of positive squares in 12 ways, for example, as 2145006293056 + 76017106944 = 1464584^2 + 275712^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89787634 + ... + 89812366.

It is an arithmetic number, because the mean of its divisors is an integer number (32864993325).

Almost surely, 22221023400000 is an apocalyptic number.

2221023400000 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 2221023400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760659439300).

2221023400000 is an abundant number, since it is smaller than the sum of its proper divisors (3300295478600).

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

2221023400000 is an frugal number, since it uses more digits than its factorization.

2221023400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25219 (or 25189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2221023400000 its reverse (43201222), we get a palindrome (2221066601222).

The spelling of 2221023400000 in words is "two trillion, two hundred twenty-one billion, twenty-three million, four hundred thousand".