Search a number
-
+
222443121132 = 2234838271721
BaseRepresentation
bin1100111100101010100…
…1001010100111101100
3210021011102222100220000
43033022221022213230
512121030414334012
6250104452024300
722033230222021
oct3171251124754
9707142870800
10222443121132
11863793852a1
123713b902090
1317c8cbccacb
14aaa2a4d548
155bbd932ddc
hex33caa4a9ec

222443121132 has 60 divisors (see below), whose sum is σ = 588516476856. Its totient is φ = 73254352320.

The previous prime is 222443121119. The next prime is 222443121133. The reversal of 222443121132 is 231121344222.

222443121132 is a `hidden beast` number, since 2 + 2 + 2 + 443 + 1 + 211 + 3 + 2 = 666.

It is a super-2 number, since 2×2224431211322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222443121096 and 222443121105.

It is not an unprimeable number, because it can be changed into a prime (222443121133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4108969 + ... + 4162752.

Almost surely, 2222443121132 is an apocalyptic number.

It is an amenable number.

222443121132 is an abundant number, since it is smaller than the sum of its proper divisors (366073355724).

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

222443121132 is a wasteful number, since it uses less digits than its factorization.

222443121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271820 (or 8271809 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 222443121132 its reverse (231121344222), we get a palindrome (453564465354).

The spelling of 222443121132 in words is "two hundred twenty-two billion, four hundred forty-three million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 4482 6723 8964 13446 26892 8271721 16543442 24815163 33086884 49630326 74445489 99260652 148890978 223336467 297781956 446672934 670009401 686552843 893345868 1340018802 1373105686 2059658529 2680037604 2746211372 4119317058 6178975587 8238634116 12357951174 18536926761 24715902348 37073853522 55610780283 74147707044 111221560566 222443121132