Search a number
-
+
221534407774104 = 23380871141412183
BaseRepresentation
bin110010010111101111111111…
…101011100100111110011000
31002001101111000210000201200120
4302113233333223210332120
5213014104431342232404
62103055300231233240
764443222100251255
oct6227577753447630
91061344023021616
10221534407774104
116465123a886717
1220a1aa28b18820
13967c7b32a6959
143c9c4730d642c
151a92941d6a9d9
hexc97bffae4f98

221534407774104 has 32 divisors (see below), whose sum is σ = 553904504651520. Its totient is φ = 73835671229216.

The previous prime is 221534407774103. The next prime is 221534407774111. The reversal of 221534407774104 is 401477704435122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221534407774103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570512004 + ... + 570900179.

It is an arithmetic number, because the mean of its divisors is an integer number (17309515770360).

Almost surely, 2221534407774104 is an apocalyptic number.

221534407774104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221534407774104 is an abundant number, since it is smaller than the sum of its proper divisors (332370096877416).

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

221534407774104 is a wasteful number, since it uses less digits than its factorization.

221534407774104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141420279 (or 1141420275 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

The spelling of 221534407774104 in words is "two hundred twenty-one trillion, five hundred thirty-four billion, four hundred seven million, seven hundred seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 8087 16174 24261 32348 48522 64696 97044 194088 1141412183 2282824366 3424236549 4565648732 6848473098 9131297464 13696946196 27393892392 9230600323921 18461200647842 27691800971763 36922401295684 55383601943526 73844802591368 110767203887052 221534407774104