Search a number
-
+
14233052322 = 23310312971973
BaseRepresentation
bin11010100000101101…
…10010010010100010
31100201220222222021000
431100112302102202
5213122130133242
610312155412430
71012464643236
oct152026622242
940656888230
1014233052322
116044206965
122912754116
13145a999568
149904205c6
1558481aa4c
hex3505b24a2

14233052322 has 64 divisors (see below), whose sum is σ = 31976904960. Its totient is φ = 4692287232.

The previous prime is 14233052311. The next prime is 14233052357. The reversal of 14233052322 is 22325033241.

14233052322 is a `hidden beast` number, since 1 + 4 + 2 + 330 + 5 + 2 + 322 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7212928 + ... + 7214900.

It is an arithmetic number, because the mean of its divisors is an integer number (499639140).

Almost surely, 214233052322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233052322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988452480).

14233052322 is an abundant number, since it is smaller than the sum of its proper divisors (17743852638).

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

14233052322 is a wasteful number, since it uses less digits than its factorization.

14233052322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 14233052322 its reverse (22325033241), we get a palindrome (36558085563).

The spelling of 14233052322 in words is "fourteen billion, two hundred thirty-three million, fifty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1297 1854 1973 2594 2781 3891 3946 5562 5919 7782 11673 11838 17757 23346 35019 35514 53271 70038 106542 133591 203219 267182 400773 406438 609657 801546 1202319 1219314 1828971 2404638 2558981 3606957 3657942 5117962 5486913 7213914 7676943 10973826 15353886 23030829 46061658 69092487 138184974 263575043 527150086 790725129 1581450258 2372175387 4744350774 7116526161 14233052322