Search a number
-
+
2244011000 = 2353711151193
BaseRepresentation
bin1000010111000000…
…1110001111111000
312210101111120101112
42011300032033320
514043431323000
61010400535452
7106415531060
oct20560161770
95711446345
102244011000
11a5175a750
12527621588
13299ba0a7a
141740563a0
15d2012235
hex85c0e3f8

2244011000 has 256 divisors, whose sum is σ = 6624184320. Its totient is φ = 691200000.

The previous prime is 2244010907. The next prime is 2244011027. The reversal of 2244011000 is 1104422.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 11626904 + ... + 11627096.

It is an arithmetic number, because the mean of its divisors is an integer number (25875720).

Almost surely, 22244011000 is an apocalyptic number.

2244011000 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 2244011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312092160).

2244011000 is an abundant number, since it is smaller than the sum of its proper divisors (4380173320).

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

2244011000 is a wasteful number, since it uses less digits than its factorization.

2244011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2244011000 is about 47370.9932342568. The cubic root of 2244011000 is about 1309.2070254804.

Adding to 2244011000 its reverse (1104422), we get a palindrome (2245115422).

The spelling of 2244011000 in words is "two billion, two hundred forty-four million, eleven thousand".