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2338385121 = 321731997547
BaseRepresentation
bin1000101101100000…
…1110110011100001
320000222002021100100
42023120032303201
514242111310441
61024011413013
7111642642222
oct21330166341
96028067310
102338385121
11a9aa59396
12553154169
132b35c4947
141827c1249
15da454cb6
hex8b60ece1

2338385121 has 24 divisors (see below), whose sum is σ = 3414715200. Its totient is φ = 1541919456.

The previous prime is 2338385099. The next prime is 2338385171. The reversal of 2338385121 is 1215838332.

It is a happy number.

It is not a de Polignac number, because 2338385121 - 227 = 2204167393 is a prime.

It is a super-2 number, since 2×23383851212 = 10936089948228369282, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2338385171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306070 + ... + 313616.

It is an arithmetic number, because the mean of its divisors is an integer number (142279800).

Almost surely, 22338385121 is an apocalyptic number.

It is an amenable number.

2338385121 is a deficient number, since it is larger than the sum of its proper divisors (1076330079).

2338385121 is a wasteful number, since it uses less digits than its factorization.

2338385121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7922 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2338385121 is about 48356.8518516249. The cubic root of 2338385121 is about 1327.3089199049.

The spelling of 2338385121 in words is "two billion, three hundred thirty-eight million, three hundred eighty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 173 199 519 597 1557 1791 7547 22641 34427 67923 103281 309843 1305631 1501853 3916893 4505559 11750679 13516677 259820569 779461707 2338385121