Search a number
-
+
2044220233440 = 2535711471176787
BaseRepresentation
bin11101101111110101000…
…001010101011011100000
321020102111020000110101210
4131233311001111123200
5231443030334432230
64203033554030120
7300455453200320
oct35576501253340
97212436013353
102044220233440
11718a49035760
12290225278340
1311a9cca58088
1470d2573d280
153829523deb0
hex1dbf50556e0

2044220233440 has 384 divisors, whose sum is σ = 8199030325248. Its totient is φ = 415734958080.

The previous prime is 2044220233423. The next prime is 2044220233477. The reversal of 2044220233440 is 443320224402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2044220233398 and 2044220233407.

It is a congruent number.

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, 1148727 + ... + 2325513.

It is an arithmetic number, because the mean of its divisors is an integer number (21351641472).

Almost surely, 22044220233440 is an apocalyptic number.

2044220233440 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 2044220233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099515162624).

2044220233440 is an abundant number, since it is smaller than the sum of its proper divisors (6154810091808).

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

2044220233440 is a wasteful number, since it uses less digits than its factorization.

2044220233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176870 (or 1176862 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2044220233440 its reverse (443320224402), we get a palindrome (2487540457842).

The spelling of 2044220233440 in words is "two trillion, forty-four billion, two hundred twenty million, two hundred thirty-three thousand, four hundred forty".