Search a number
-
+
22613300 = 2252226133
BaseRepresentation
bin101011001000…
…0110100110100
31120112212121122
41112100310310
521242111200
62124403112
7363131663
oct126206464
946485548
1022613300
1111845786
1276a6498
1348b9a68
143008dda
151eba385
hex1590d34

22613300 has 18 divisors (see below), whose sum is σ = 49071078. Its totient is φ = 9045280.

The previous prime is 22613299. The next prime is 22613309. The reversal of 22613300 is 331622.

It can be written as a sum of positive squares in 3 ways, for example, as 126736 + 22486564 = 356^2 + 4742^2 .

It is a super-2 number, since 2×226133002 = 1022722673780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22613309) 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, 112967 + ... + 113166.

It is an arithmetic number, because the mean of its divisors is an integer number (2726171).

Almost surely, 222613300 is an apocalyptic number.

22613300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22613300 is an abundant number, since it is smaller than the sum of its proper divisors (26457778).

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

22613300 is a wasteful number, since it uses less digits than its factorization.

22613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226147 (or 226140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 22613300 is about 4755.3443618733. The cubic root of 22613300 is about 282.7838794129.

Adding to 22613300 its reverse (331622), we get a palindrome (22944922).

The spelling of 22613300 in words is "twenty-two million, six hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 226133 452266 904532 1130665 2261330 4522660 5653325 11306650 22613300