Search a number
-
+
7222904 = 2313199349
BaseRepresentation
bin11011100011011001111000
3111120221221222
4123203121320
53322113104
6414451212
7115252013
oct33433170
914527858
107222904
114093747
122503b08
13165b810
14d6037a
1597a1be
hex6e3678

7222904 has 32 divisors (see below), whose sum is σ = 14700000. Its totient is φ = 3307392.

The previous prime is 7222903. The next prime is 7222931. The reversal of 7222904 is 4092227.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7222903) 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 7 ways as a sum of consecutive naturals, for example, 20522 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (459375).

Almost surely, 27222904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7222904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350000).

7222904 is an abundant number, since it is smaller than the sum of its proper divisors (7477096).

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

7222904 is a wasteful number, since it uses less digits than its factorization.

7222904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 7222904 is about 2687.5460926280. The cubic root of 7222904 is about 193.3024154549.

The spelling of 7222904 in words is "seven million, two hundred twenty-two thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 52 104 199 349 398 698 796 1396 1592 2587 2792 4537 5174 9074 10348 18148 20696 36296 69451 138902 277804 555608 902863 1805726 3611452 7222904