Search a number
-
+
2244022314540 = 22351718122435419
BaseRepresentation
bin100000101001111010001…
…001110010011000101100
321221112012202212211012120
4200221322021302120230
5243231224203031130
64434520054032540
7321060651645306
oct40517211623054
97845182784176
102244022314540
11795759105516
12302aa6648750
131337c206b276
147a87b420976
153d58b11a910
hex20a7a27262c

2244022314540 has 192 divisors, whose sum is σ = 6693839792640. Its totient is φ = 559740948480.

The previous prime is 2244022314529. The next prime is 2244022314553. The reversal of 2244022314540 is 454132204422.

It is a super-2 number, since 2×22440223145402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414099951 + ... + 414105369.

It is an arithmetic number, because the mean of its divisors is an integer number (34863748920).

Almost surely, 22244022314540 is an apocalyptic number.

2244022314540 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 2244022314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346919896320).

2244022314540 is an abundant number, since it is smaller than the sum of its proper divisors (4449817478100).

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

2244022314540 is a wasteful number, since it uses less digits than its factorization.

2244022314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7872 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2244022314540 its reverse (454132204422), we get a palindrome (2698154518962).

The spelling of 2244022314540 in words is "two trillion, two hundred forty-four billion, twenty-two million, three hundred fourteen thousand, five hundred forty".