Search a number
-
+
222212012022020 = 22511110600601101
BaseRepresentation
bin110010100001100111000100…
…000010101001100100000100
31002010210021001011222001011002
4302201213010002221210010
5213111210200034201040
62104334442234032432
764543200544316036
oct6241470402514404
91063707034861132
10222212012022020
1164892648805299
1220b0a215278718
1396cb66c909987
143cc3193c7dc56
151aa539ebbea15
hexca19c40a9904

222212012022020 has 12 divisors (see below), whose sum is σ = 466645225246284. Its totient is φ = 88884804808800.

The previous prime is 222212012022019. The next prime is 222212012022037. The reversal of 222212012022020 is 20220210212222.

It can be written as a sum of positive squares in 2 ways, for example, as 63728033544256 + 158483978477764 = 7982984^2 + 12589042^2 .

It is a super-2 number, since 2×2222120120220202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11110600601101 = 222212012022020 / (2 + 2 + 2 + 2 + 1 + 2 + 0 + 1 + 2 + 0 + 2 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 222212012021983 and 222212012022001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5555300300531 + ... + 5555300300570.

It is an arithmetic number, because the mean of its divisors is an integer number (38887102103857).

Almost surely, 2222212012022020 is an apocalyptic number.

222212012022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222212012022020 is an abundant number, since it is smaller than the sum of its proper divisors (244433213224264).

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

222212012022020 is a wasteful number, since it uses less digits than its factorization.

222212012022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110600601110 (or 11110600601108 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222212012022020 its reverse (20220210212222), we get a palindrome (242432222234242).

The spelling of 222212012022020 in words is "two hundred twenty-two trillion, two hundred twelve billion, twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 11110600601101 22221201202202 44442402404404 55553003005505 111106006011010 222212012022020