Search a number
-
+
222111220100020 = 22511105561005001
BaseRepresentation
bin110010100000001001001100…
…010111111110101110110100
31002010102121212211011220010221
4302200021030113332232310
5213103032234321200040
62104220252541224124
764533002043160036
oct6240111427765664
91063377784156127
10222111220100020
11648539263564a9
1220ab2786262044
1396c1cc9015144
143cbc351997c56
151aa29511a674a
hexca024c5febb4

222111220100020 has 12 divisors (see below), whose sum is σ = 466433562210084. Its totient is φ = 88844488040000.

The previous prime is 222111220099907. The next prime is 222111220100023. The reversal of 222111220100020 is 20001022111222.

It is a happy number.

222111220100020 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 75284151102736 + 146827068997284 = 8676644^2 + 12117222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222111220099967 and 222111220100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222111220100023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5552780502481 + ... + 5552780502520.

It is an arithmetic number, because the mean of its divisors is an integer number (38869463517507).

Almost surely, 2222111220100020 is an apocalyptic number.

222111220100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222111220100020 is an abundant number, since it is smaller than the sum of its proper divisors (244322342110064).

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

222111220100020 is a wasteful number, since it uses less digits than its factorization.

222111220100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11105561005010 (or 11105561005008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222111220100020 its reverse (20001022111222), we get a palindrome (242112242211242).

The spelling of 222111220100020 in words is "two hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 11105561005001 22211122010002 44422244020004 55527805025005 111055610050010 222111220100020