Search a number
-
+
22003100032 = 27755922741
BaseRepresentation
bin10100011111011111…
…001010100110000000
32002210102201021220211
4110133133022212000
5330030243200112
614035202443504
71406154156454
oct243737124600
962712637824
1022003100032
1193711a37a1
124320963594
1320c8699024
1410ca34a664
1588ba420a7
hex51f7ca980

22003100032 has 32 divisors (see below), whose sum is σ = 43842027600. Its totient is φ = 10999610880.

The previous prime is 22003099999. The next prime is 22003100039. The reversal of 22003100032 is 23000130022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×220031000322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22003099985 and 22003100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22003100039) by changing a digit.

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, 956182 + ... + 978922.

Almost surely, 222003100032 is an apocalyptic number.

It is an amenable number.

22003100032 is a deficient number, since it is larger than the sum of its proper divisors (21838927568).

22003100032 is an equidigital number, since it uses as much as digits as its factorization.

22003100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30314 (or 30302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22003100032 its reverse (23000130022), we get a palindrome (45003230054).

The spelling of 22003100032 in words is "twenty-two billion, three million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 7559 15118 22741 30236 45482 60472 90964 120944 181928 241888 363856 483776 727712 967552 1455424 2910848 171899219 343798438 687596876 1375193752 2750387504 5500775008 11001550016 22003100032