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2314201330 = 257171925387
BaseRepresentation
bin1000100111101111…
…1110100011110010
312222021120121102101
42021323332203302
514214413420310
61021345211014
7111230246440
oct21173764362
95867517371
102314201330
11a88340791
12547030a6a
132ab5a80cc
1417d4c7b90
15d827943a
hex89efe8f2

2314201330 has 96 divisors (see below), whose sum is σ = 5320930176. Its totient is φ = 707332608.

The previous prime is 2314201319. The next prime is 2314201333. The reversal of 2314201330 is 331024132.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2314201298 and 2314201307.

It is not an unprimeable number, because it can be changed into a prime (2314201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426897 + ... + 432283.

It is an arithmetic number, because the mean of its divisors is an integer number (55426356).

Almost surely, 22314201330 is an apocalyptic number.

2314201330 is an abundant number, since it is smaller than the sum of its proper divisors (3006728846).

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

2314201330 is a wasteful number, since it uses less digits than its factorization.

2314201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2314201330 is about 48106.1464887804. The cubic root of 2314201330 is about 1322.7173380754.

Adding to 2314201330 its reverse (331024132), we get a palindrome (2645225462).

The spelling of 2314201330 in words is "two billion, three hundred fourteen million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 70 85 95 119 133 170 190 238 266 323 361 595 646 665 722 1190 1330 1615 1805 2261 2527 3230 3610 4522 5054 5387 6137 10774 11305 12274 12635 22610 25270 26935 30685 37709 42959 53870 61370 75418 85918 91579 102353 183158 188545 204706 214795 377090 429590 457895 511765 641053 716471 915790 1023530 1282106 1432942 1740001 1944707 3205265 3480002 3582355 3889414 6410530 7164710 8700005 9723535 12180007 13612949 17400010 19447070 24360014 27225898 33060019 60900035 66120038 68064745 121800070 136129490 165300095 231420133 330600190 462840266 1157100665 2314201330