Search a number
-
+
2244024024440 = 235115479323683
BaseRepresentation
bin100000101001111010010…
…000010011110101111000
321221112012220002200202012
4200221322100103311320
5243231230122240230
64434520154425052
7321061002326402
oct40517220236570
97845186080665
102244024024440
1179575a073160
12302aa7132188
131337c2519643
147a87b747b72
153d58b357395
hex20a7a413d78

2244024024440 has 64 divisors (see below), whose sum is σ = 5518129138560. Its totient is φ = 814516859520.

The previous prime is 2244024024433. The next prime is 2244024024461. The reversal of 2244024024440 is 444204204422.

It is a junction number, because it is equal to n+sod(n) for n = 2244024024397 and 2244024024406.

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 15 ways as a sum of consecutive naturals, for example, 4421162 + ... + 4902521.

It is an arithmetic number, because the mean of its divisors is an integer number (86220767790).

Almost surely, 22244024024440 is an apocalyptic number.

2244024024440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244024024440 is an abundant number, since it is smaller than the sum of its proper divisors (3274105114120).

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

2244024024440 is a wasteful number, since it uses less digits than its factorization.

2244024024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324252 (or 9324248 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2244024024440 its reverse (444204204422), we get a palindrome (2688228228862).

The spelling of 2244024024440 in words is "two trillion, two hundred forty-four billion, twenty-four million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 547 1094 2188 2735 4376 5470 6017 10940 12034 21880 24068 30085 48136 60170 120340 240680 9323683 18647366 37294732 46618415 74589464 93236830 102560513 186473660 205121026 372947320 410242052 512802565 820484104 1025605130 2051210260 4102420520 5100054601 10200109202 20400218404 25500273005 40800436808 51000546010 56100600611 102001092020 112201201222 204002184040 224402402444 280503003055 448804804888 561006006110 1122012012220 2244024024440