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16224934338 = 2331667180241
BaseRepresentation
bin11110001110001010…
…01101100111000010
31112212202002001201000
433013011031213002
5231212040344323
611241552352430
71113032444364
oct170705154702
945782061630
1016224934338
116976609348
123189845716
1316b7560882
14adcba4d34
1564e627e43
hex3c714d9c2

16224934338 has 32 divisors (see below), whose sum is σ = 36077238720. Its totient is φ = 5405037120.

The previous prime is 16224934331. The next prime is 16224934393. The reversal of 16224934338 is 83343942261.

16224934338 is a `hidden beast` number, since 1 + 6 + 224 + 93 + 4 + 338 = 666.

16224934338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162249343382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16224934293 and 16224934302.

It is not an unprimeable number, because it can be changed into a prime (16224934331) 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, 103 + ... + 180138.

It is an arithmetic number, because the mean of its divisors is an integer number (1127413710).

Almost surely, 216224934338 is an apocalyptic number.

16224934338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

16224934338 is an abundant number, since it is smaller than the sum of its proper divisors (19852304382).

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

16224934338 is a wasteful number, since it uses less digits than its factorization.

16224934338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181919 (or 181913 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 16224934338 in words is "sixteen billion, two hundred twenty-four million, nine hundred thirty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 1667 3334 5001 10002 15003 30006 45009 90018 180241 360482 540723 1081446 1622169 3244338 4866507 9733014 300461747 600923494 901385241 1802770482 2704155723 5408311446 8112467169 16224934338