Search a number
-
+
221422004506644 = 223192411246661287
BaseRepresentation
bin110010010110000111010011…
…111011001001000000010100
31002000222201220012110010010120
4302112013103323021000110
5213010234231123203034
62102531510431151540
764432132454245164
oct6226072373110024
91060881805403116
10221422004506644
11646085aa0a2157
1220a010993755b0
13967200bc18ac6
143c96c4ca825a4
151a8ea63ca3c49
hexc961d3ec9014

221422004506644 has 72 divisors (see below), whose sum is σ = 558574070056128. Its totient is φ = 68217305569920.

The previous prime is 221422004506643. The next prime is 221422004506673. The reversal of 221422004506644 is 446605400224122.

It is a junction number, because it is equal to n+sod(n) for n = 221422004506596 and 221422004506605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221422004506643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623153032 + ... + 623508255.

It is an arithmetic number, because the mean of its divisors is an integer number (7757973195224).

Almost surely, 2221422004506644 is an apocalyptic number.

It is an amenable number.

221422004506644 is an abundant number, since it is smaller than the sum of its proper divisors (337152065549484).

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

221422004506644 is a wasteful number, since it uses less digits than its factorization.

221422004506644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246661373 (or 1246661352 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 221422004506644 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, four million, five hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 361 492 722 779 1083 1444 1558 2166 2337 3116 4332 4674 9348 14801 29602 44403 59204 88806 177612 1246661287 2493322574 3739983861 4986645148 7479967722 14959935444 23686564453 47373128906 51113112767 71059693359 94746257812 102226225534 142119386718 153339338301 204452451068 284238773436 306678676602 450044724607 613357353204 900089449214 971149142573 1350134173821 1800178898428 1942298285146 2700268347642 2913447427719 3884596570292 5400536695284 5826894855438 11653789710876 18451833708887 36903667417774 55355501126661 73807334835548 110711002253322 221422004506644