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2314521020 = 2257137312041
BaseRepresentation
bin1000100111110100…
…1100100110111100
312222022011211221202
42021331030212330
514220004133040
61021400115032
7111233050460
oct21175144674
95868154852
102314521020
11a88539999
12547165a78
132ab68a786
1417d56c4a0
15d82de015
hex89f4c9bc

2314521020 has 48 divisors (see below), whose sum is σ = 5559357888. Its totient is φ = 792906240.

The previous prime is 2314521017. The next prime is 2314521023. The reversal of 2314521020 is 201254132.

It is an interprime number because it is at equal distance from previous prime (2314521017) and next prime (2314521023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2314520983 and 2314521001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314521023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186200 + ... + 198240.

It is an arithmetic number, because the mean of its divisors is an integer number (115819956).

Almost surely, 22314521020 is an apocalyptic number.

2314521020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314521020 is an abundant number, since it is smaller than the sum of its proper divisors (3244836868).

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

2314521020 is a wasteful number, since it uses less digits than its factorization.

2314521020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2314521020 is about 48109.4691303074. The cubic root of 2314521020 is about 1322.7782431819.

Adding to 2314521020 its reverse (201254132), we get a palindrome (2515775152).

The spelling of 2314521020 in words is "two billion, three hundred fourteen million, five hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1373 2746 5492 6865 9611 12041 13730 19222 24082 27460 38444 48055 48164 60205 84287 96110 120410 168574 192220 240820 337148 421435 842870 1685740 16532293 33064586 66129172 82661465 115726051 165322930 231452102 330645860 462904204 578630255 1157260510 2314521020