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2244170064 = 243791075531
BaseRepresentation
bin1000010111000011…
…0101000101010000
312210101210122120210
42011300311011100
514044001420224
61010404204120
7106420062603
oct20560650520
95711718523
102244170064
11a51859204
12527699640
13299c282a6
1417409833a
15d2044429
hex85c35150

2244170064 has 80 divisors (see below), whose sum is σ = 5926763520. Its totient is φ = 731552640.

The previous prime is 2244170063. The next prime is 2244170083. The reversal of 2244170064 is 4600714422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244170063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402979 + ... + 408509.

It is an arithmetic number, because the mean of its divisors is an integer number (74084544).

Almost surely, 22244170064 is an apocalyptic number.

2244170064 is a gapful number since it is divisible by the number (24) 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 2244170064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963381760).

2244170064 is an abundant number, since it is smaller than the sum of its proper divisors (3682593456).

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

2244170064 is a wasteful number, since it uses less digits than its factorization.

2244170064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2244170064 is about 47372.6721222268. The cubic root of 2244170064 is about 1309.2379586006.

Adding to 2244170064 its reverse (4600714422), we get a palindrome (6844884486).

The spelling of 2244170064 in words is "two billion, two hundred forty-four million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 107 158 214 237 316 321 428 474 632 642 856 948 1264 1284 1712 1896 2568 3792 5136 5531 8453 11062 16593 16906 22124 25359 33186 33812 44248 50718 66372 67624 88496 101436 132744 135248 202872 265488 405744 436949 591817 873898 1183634 1310847 1747796 1775451 2367268 2621694 3495592 3550902 4734536 5243388 6991184 7101804 9469072 10486776 14203608 20973552 28407216 46753543 93507086 140260629 187014172 280521258 374028344 561042516 748056688 1122085032 2244170064