Search a number
-
+
2342216331 = 347131971613
BaseRepresentation
bin1000101110011011…
…0110001010001011
320001020021220210000
42023212312022023
514244101410311
61024225454043
7112020340020
oct21346661213
96036256700
102342216331
11aa2135884
125544a1323
132b4336730
141830db547
15da960056
hex8b9b628b

2342216331 has 80 divisors (see below), whose sum is σ = 4330839744. Its totient is φ = 1228421376.

The previous prime is 2342216323. The next prime is 2342216381. The reversal of 2342216331 is 1336122432.

2342216331 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 21 + 633 + 1 = 666.

2342216331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2342216331 - 23 = 2342216323 is a prime.

It is a super-2 number, since 2×23422163312 = 10971954682406203122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2342216295 and 2342216304.

It is not an unprimeable number, because it can be changed into a prime (2342216311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1451281 + ... + 1452893.

Almost surely, 22342216331 is an apocalyptic number.

2342216331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2342216331 is a deficient number, since it is larger than the sum of its proper divisors (1988623413).

2342216331 is a wasteful number, since it uses less digits than its factorization.

2342216331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1833 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2342216331 is about 48396.4495701906. The cubic root of 2342216331 is about 1328.0334119899.

Adding to 2342216331 its reverse (1336122432), we get a palindrome (3678338763).

It can be divided in two parts, 234 and 2216331, that added together give a triangular number (2216565 = T2105).

The spelling of 2342216331 in words is "two billion, three hundred forty-two million, two hundred sixteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 197 273 351 567 591 819 1053 1379 1613 1773 2457 2561 4137 4839 5319 7371 7683 11291 12411 14517 15957 17927 20969 23049 33873 37233 43551 53781 62907 69147 101619 111699 130653 146783 161343 188721 207441 304857 317761 440349 484029 566163 914571 953283 1321047 1452087 1698489 2224327 2859849 3963141 4130893 6672981 8579547 11889423 12392679 20018943 25738641 28916251 37178037 60056829 86748753 111534111 180170487 260246259 334602333 780738777 2342216331