Search a number
-
+
223105446107142 = 2310123645156457
BaseRepresentation
bin110010101110100111001000…
…110111001101100000000110
31002020221200011010211002102220
4302232213020313031200012
5213220324423200412032
62110301121011113210
764664556636613434
oct6256471067154006
91066850133732386
10223105446107142
11650a7540a87055
12210333b65a2806
1397649a3ca6941
143d1450b223d54
151abd740a7a12c
hexcae9c8dcd806

223105446107142 has 24 divisors (see below), whose sum is σ = 450672563841288. Its totient is φ = 73632160411200.

The previous prime is 223105446107123. The next prime is 223105446107149. The reversal of 223105446107142 is 241701644501322.

It is a super-3 number, since 3×2231054461071423 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223105446107094 and 223105446107103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223105446107149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1822517023 + ... + 1822639434.

It is an arithmetic number, because the mean of its divisors is an integer number (18778023493387).

Almost surely, 2223105446107142 is an apocalyptic number.

223105446107142 is an abundant number, since it is smaller than the sum of its proper divisors (227567117734146).

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

223105446107142 is a wasteful number, since it uses less digits than its factorization.

223105446107142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645156664 (or 3645156563 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 223105446107142 in words is "two hundred twenty-three trillion, one hundred five billion, four hundred forty-six million, one hundred seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 101 202 303 606 10201 20402 30603 61206 3645156457 7290312914 10935469371 21870938742 368160802157 736321604314 1104482406471 2208964812942 37184241017857 74368482035714 111552723053571 223105446107142