Search a number
-
+
220324552500144 = 24338811182709313
BaseRepresentation
bin110010000110001001001110…
…101011111110001110110000
31001220002211011212212211101110
4302012021032223332032300
5212334244140420001034
62100331411354033320
764256631542146131
oct6206111653761660
91056084155784343
10220324552500144
1164225133045414
122086445aa18840
1395c2692ca4cc1
143c59a9db5dc88
151a71231d5dde9
hexc8624eafe3b0

220324552500144 has 40 divisors (see below), whose sum is σ = 569318417061552. Its totient is φ = 73422594088960.

The previous prime is 220324552500109. The next prime is 220324552500187. The reversal of 220324552500144 is 441005255423022.

220324552500144 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 2×2203245525001442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591168369 + ... + 591540944.

Almost surely, 2220324552500144 is an apocalyptic number.

220324552500144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220324552500144 is an abundant number, since it is smaller than the sum of its proper divisors (348993864561408).

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

220324552500144 is a wasteful number, since it uses less digits than its factorization.

220324552500144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182713205 (or 1182713199 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 220324552500144 in words is "two hundred twenty trillion, three hundred twenty-four billion, five hundred fifty-two million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3881 7762 11643 15524 23286 31048 46572 62096 93144 186288 1182709313 2365418626 3548127939 4730837252 7096255878 9461674504 14192511756 18923349008 28385023512 56770047024 4590094843753 9180189687506 13770284531259 18360379375012 27540569062518 36720758750024 55081138125036 73441517500048 110162276250072 220324552500144