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2214443220000 = 253541123145879
BaseRepresentation
bin100000001110010111000…
…110011111110000100000
321211200212100121010120120
4200032113012133300200
5242240134431020000
64413145015240240
7315662652541134
oct40162706376040
97750770533516
102214443220000
1178415a515a40
122b9210679080
13130a89c5706b
1479272c5d3c4
153c9094346a0
hex2039719fc20

2214443220000 has 480 divisors, whose sum is σ = 8268749153280. Its totient is φ = 513490560000.

The previous prime is 2214443219987. The next prime is 2214443220007. The reversal of 2214443220000 is 223444122.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2214443220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15107061 + ... + 15252939.

It is an arithmetic number, because the mean of its divisors is an integer number (17226560736).

Almost surely, 22214443220000 is an apocalyptic number.

2214443220000 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 2214443220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134374576640).

2214443220000 is an abundant number, since it is smaller than the sum of its proper divisors (6054305933280).

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

2214443220000 is a wasteful number, since it uses less digits than its factorization.

2214443220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145946 (or 145923 counting only the distinct ones).

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

Adding to 2214443220000 its reverse (223444122), we get a palindrome (2214666664122).

The spelling of 2214443220000 in words is "two trillion, two hundred fourteen billion, four hundred forty-three million, two hundred twenty thousand".