Search a number
-
+
22213203232 = 251125736881
BaseRepresentation
bin10100101100000000…
…101001010100100000
32010100002001122022211
4110230000221110200
5330443040000412
614112110011504
71414315053313
oct245400512440
963302048284
1022213203232
119469857400
12437b1a6b94
13213007cb4c
14110a1dc97a
158a01e4ca7
hex52c029520

22213203232 has 36 divisors (see below), whose sum is σ = 48069334278. Its totient is φ = 10096908800.

The previous prime is 22213203211. The next prime is 22213203239. The reversal of 22213203232 is 23230231222.

It can be written as a sum of positive squares in only one way, i.e., 14844010896 + 7369192336 = 121836^2 + 85844^2 .

It is a super-2 number, since 2×222132032322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22213203239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2864569 + ... + 2872312.

Almost surely, 222213203232 is an apocalyptic number.

22213203232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22213203232 is an abundant number, since it is smaller than the sum of its proper divisors (25856131046).

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

22213203232 is a wasteful number, since it uses less digits than its factorization.

22213203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736913 (or 5736894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22213203232 its reverse (23230231222), we get a palindrome (45443434454).

The spelling of 22213203232 in words is "twenty-two billion, two hundred thirteen million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5736881 11473762 22947524 45895048 63105691 91790096 126211382 183580192 252422764 504845528 694162601 1009691056 1388325202 2019382112 2776650404 5553300808 11106601616 22213203232