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2314213104 = 243724128579
BaseRepresentation
bin1000100111110000…
…0001011011110000
312222021121012120110
42021330001123300
514214414304404
61021345341320
7111230325660
oct21174013360
95867535513
102314213104
11a88349615
12547037840
132ab5b0588
1417d4cc1a0
15d827cb89
hex89f016f0

2314213104 has 80 divisors (see below), whose sum is σ = 6861029120. Its totient is φ = 658437120.

The previous prime is 2314213093. The next prime is 2314213141. The reversal of 2314213104 is 4013124132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66687 + ... + 95265.

It is an arithmetic number, because the mean of its divisors is an integer number (85762864).

Almost surely, 22314213104 is an apocalyptic number.

2314213104 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 2314213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430514560).

2314213104 is an abundant number, since it is smaller than the sum of its proper divisors (4546816016).

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

2314213104 is a wasteful number, since it uses less digits than its factorization.

2314213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28838 (or 28832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2314213104 is about 48106.2688638394. The cubic root of 2314213104 is about 1322.7195812751.

Adding to 2314213104 its reverse (4013124132), we get a palindrome (6327337236).

The spelling of 2314213104 in words is "two billion, three hundred fourteen million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 964 1446 1687 1928 2892 3374 3856 5061 5784 6748 10122 11568 13496 20244 26992 28579 40488 57158 80976 85737 114316 171474 200053 228632 342948 400106 457264 600159 685896 800212 1200318 1371792 1600424 2400636 3200848 4801272 6887539 9602544 13775078 20662617 27550156 41325234 48212773 55100312 82650468 96425546 110200624 144638319 165300936 192851092 289276638 330601872 385702184 578553276 771404368 1157106552 2314213104