Search a number
-
+
222211110000222 = 23272776366715661
BaseRepresentation
bin110010100001100110001110…
…010001101101011001011110
31002010210011201022122120212100
4302201212032101231121132
5213111201323130001342
62104334212532345530
764543136312256630
oct6241461621553136
91063704638576770
10222211110000222
1164892225621a32
1220b0a0031752a6
1396cb557a85c75
143cc310a158a50
151aa534a8e3e4c
hexca198e46d65e

222211110000222 has 48 divisors (see below), whose sum is σ = 552223449659232. Its totient is φ = 63259686797760.

The previous prime is 222211110000211. The next prime is 222211110000227. The reversal of 222211110000222 is 222000011112222.

It is a happy number.

222211110000222 is a `hidden beast` number, since 222 + 211 + 1 + 10 + 0 + 0 + 0 + 222 = 666.

222211110000222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222211110000195 and 222211110000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222211110000227) 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, 3183322929 + ... + 3183392732.

It is an arithmetic number, because the mean of its divisors is an integer number (11504655201234).

Almost surely, 2222211110000222 is an apocalyptic number.

222211110000222 is an abundant number, since it is smaller than the sum of its proper divisors (330012339659010).

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

222211110000222 is a wasteful number, since it uses less digits than its factorization.

222211110000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366715953 (or 6366715950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222211110000222 its reverse (222000011112222), we get a palindrome (444211121112444).

The spelling of 222211110000222 in words is "two hundred twenty-two trillion, two hundred eleven billion, one hundred ten million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 277 554 831 1662 1939 2493 3878 4986 5817 11634 17451 34902 6366715661 12733431322 19100146983 38200293966 44567009627 57300440949 89134019254 114600881898 133701028881 267402057762 401103086643 802206173286 1763580238097 3527160476194 5290740714291 10581481428582 12345061666679 15872222142873 24690123333358 31744444285746 37035185000037 74070370000074 111105555000111 222211110000222