Search a number
-
+
223113040003220 = 22511155652000161
BaseRepresentation
bin110010101110101110001101…
…011111101000000010010100
31002020222101202101001222111012
4302232232031133220002110
5213220441001220100340
62110304414322431352
764665246056640233
oct6256561537500224
91066871671058435
10223113040003220
11650aa78859a624
1221034975802558
13976561434c083
143d14a2b9b8b1a
151abda375a8565
hexcaeb8d7e8094

223113040003220 has 12 divisors (see below), whose sum is σ = 468537384006804. Its totient is φ = 89245216001280.

The previous prime is 223113040003181. The next prime is 223113040003253. The reversal of 223113040003220 is 22300040311322.

223113040003220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116210426648836 + 106902613354384 = 10780094^2 + 10339372^2 .

It is a super-3 number, since 3×2231130400032203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5577826000061 + ... + 5577826000100.

It is an arithmetic number, because the mean of its divisors is an integer number (39044782000567).

Almost surely, 2223113040003220 is an apocalyptic number.

223113040003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223113040003220 is an abundant number, since it is smaller than the sum of its proper divisors (245424344003584).

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

223113040003220 is a wasteful number, since it uses less digits than its factorization.

223113040003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11155652000170 (or 11155652000168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223113040003220 its reverse (22300040311322), we get a palindrome (245413080314542).

The spelling of 223113040003220 in words is "two hundred twenty-three trillion, one hundred thirteen billion, forty million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 11155652000161 22311304000322 44622608000644 55778260000805 111556520001610 223113040003220