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2321314420 = 225313601617
BaseRepresentation
bin1000101001011100…
…0111001001110100
312222202221222202011
42022113013021310
514223224030140
61022201454004
7111344563345
oct21227071164
95882858664
102321314420
11a91359977
125494a1304
132acbc8939
1418041a0cc
15d8bd1cea
hex8a5c7274

2321314420 has 48 divisors (see below), whose sum is σ = 4906410768. Its totient is φ = 922521600.

The previous prime is 2321314409. The next prime is 2321314427. The reversal of 2321314420 is 244131232.

It can be written as a sum of positive squares in 8 ways, for example, as 620906724 + 1700407696 = 24918^2 + 41236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2321314391 and 2321314400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321314427) 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, 3761952 + ... + 3762568.

It is an arithmetic number, because the mean of its divisors is an integer number (102216891).

Almost surely, 22321314420 is an apocalyptic number.

2321314420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321314420 is an abundant number, since it is smaller than the sum of its proper divisors (2585096348).

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

2321314420 is a wasteful number, since it uses less digits than its factorization.

2321314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2321314420 is about 48180.0209630506. The cubic root of 2321314420 is about 1324.0711506017.

Adding to 2321314420 its reverse (244131232), we get a palindrome (2565445652).

The spelling of 2321314420 in words is "two billion, three hundred twenty-one million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 313 601 617 626 1202 1234 1252 1565 2404 2468 3005 3085 3130 6010 6170 6260 12020 12340 188113 193121 370817 376226 386242 741634 752452 772484 940565 965605 1483268 1854085 1881130 1931210 3708170 3762260 3862420 7416340 116065721 232131442 464262884 580328605 1160657210 2321314420