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2244000416 = 25719950341
BaseRepresentation
bin1000010111000000…
…1011101010100000
312210101111000212112
42011300023222200
514043431003131
61010400414452
7106415455160
oct20560135240
95711430775
102244000416
11a517527a9
12527617428
13299b98cc8
141740525a0
15d200e02b
hex85c0baa0

2244000416 has 48 divisors (see below), whose sum is σ = 5074473600. Its totient is φ = 956862720.

The previous prime is 2244000373. The next prime is 2244000419. The reversal of 2244000416 is 6140004422.

It is a junction number, because it is equal to n+sod(n) for n = 2244000391 and 2244000400.

It is not an unprimeable number, because it can be changed into a prime (2244000419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19406 + ... + 69746.

It is an arithmetic number, because the mean of its divisors is an integer number (105718200).

Almost surely, 22244000416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537236800).

2244000416 is an abundant number, since it is smaller than the sum of its proper divisors (2830473184).

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

2244000416 is a wasteful number, since it uses less digits than its factorization.

2244000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50557 (or 50549 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2244000416 is about 47370.8815201913. The cubic root of 2244000416 is about 1309.2049671618.

Adding to 2244000416 its reverse (6140004422), we get a palindrome (8384004838).

The spelling of 2244000416 in words is "two billion, two hundred forty-four million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2786 3184 5572 6368 11144 22288 44576 50341 100682 201364 352387 402728 704774 805456 1409548 1610912 2819096 5638192 10017859 11276384 20035718 40071436 70125013 80142872 140250026 160285744 280500052 320571488 561000104 1122000208 2244000416