Search a number
-
+
22014100 = 2252220141
BaseRepresentation
bin101001111111…
…0100010010100
31112102102200001
41103332202110
521113422400
62103501044
7355055023
oct123764224
945372601
1022014100
1111476579
127457784
13473a0c4
142cd08ba
151deca6a
hex14fe894

22014100 has 18 divisors (see below), whose sum is σ = 47770814. Its totient is φ = 8805600.

The previous prime is 22014067. The next prime is 22014101. The reversal of 22014100 is 141022.

It can be written as a sum of positive squares in 3 ways, for example, as 1110916 + 20903184 = 1054^2 + 4572^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22014101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109971 + ... + 110170.

Almost surely, 222014100 is an apocalyptic number.

22014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22014100 is an abundant number, since it is smaller than the sum of its proper divisors (25756714).

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

22014100 is a wasteful number, since it uses less digits than its factorization.

22014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220155 (or 220148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22014100 is about 4691.9185841189. The cubic root of 22014100 is about 280.2637820308.

Adding to 22014100 its reverse (141022), we get a palindrome (22155122).

It can be divided in two parts, 2 and 2014100, that added together give a palindrome (2014102).

The spelling of 22014100 in words is "twenty-two million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 220141 440282 880564 1100705 2201410 4402820 5503525 11007050 22014100