Search a number
-
+
223202113012233 = 3324679793349601
BaseRepresentation
bin110010110000000001001010…
…101010001100001000001001
31002021021220200000122200001000
4302300001022222030020021
5213223420411412342413
62110413345110245213
765004551302011165
oct6260011252141011
91067256600580030
10223202113012233
1165134536a23663
122104a094056809
139770b3b0b7474
143d1907b731ca5
151ac0eec376073
hexcb004aa8c209

223202113012233 has 16 divisors (see below), whose sum is σ = 330670029758400. Its totient is φ = 148801303958400.

The previous prime is 223202113012147. The next prime is 223202113012253. The reversal of 223202113012233 is 332210311202322.

223202113012233 is a `hidden beast` number, since 2 + 2 + 320 + 2 + 1 + 1 + 301 + 2 + 2 + 33 = 666.

It is not a de Polignac number, because 223202113012233 - 212 = 223202113008137 is a prime.

It is a super-3 number, since 3×2232021130122333 (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223202113012197 and 223202113012206.

It is not an unprimeable number, because it can be changed into a prime (223202113012253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64960633 + ... + 68310233.

It is an arithmetic number, because the mean of its divisors is an integer number (20666876859900).

Almost surely, 2223202113012233 is an apocalyptic number.

It is an amenable number.

223202113012233 is a deficient number, since it is larger than the sum of its proper divisors (107467916746167).

223202113012233 is a wasteful number, since it uses less digits than its factorization.

223202113012233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817589 (or 5817583 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223202113012233 its reverse (332210311202322), we get a palindrome (555412424214555).

The spelling of 223202113012233 in words is "two hundred twenty-three trillion, two hundred two billion, one hundred thirteen million, twelve thousand, two hundred thirty-three".

Divisors: 1 3 9 27 2467979 3349601 7403937 10048803 22211811 30146409 66635433 90439227 8266744926379 24800234779137 74400704337411 223202113012233