Search a number
-
+
7222000 = 245323157
BaseRepresentation
bin11011100011001011110000
3111120220201111
4123203023300
53322101000
6414443104
7115246252
oct33431360
914526644
107222000
114092aa5
122503494
13165b296
14d5dcd2
15979cba
hex6e32f0

7222000 has 80 divisors (see below), whose sum is σ = 18338112. Its totient is φ = 2745600.

The previous prime is 7221983. The next prime is 7222001. The reversal of 7222000 is 2227.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7222001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45922 + ... + 46078.

Almost surely, 27222000 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 7222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169056).

7222000 is an abundant number, since it is smaller than the sum of its proper divisors (11116112).

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

7222000 is a wasteful number, since it uses less digits than its factorization.

7222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 7222000 is about 2687.3779042033. The cubic root of 7222000 is about 193.2943507081.

Adding to 7222000 its reverse (2227), we get a palindrome (7224227).

The spelling of 7222000 in words is "seven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 157 184 200 230 250 314 368 400 460 500 575 628 785 920 1000 1150 1256 1570 1840 2000 2300 2512 2875 3140 3611 3925 4600 5750 6280 7222 7850 9200 11500 12560 14444 15700 18055 19625 23000 28888 31400 36110 39250 46000 57776 62800 72220 78500 90275 144440 157000 180550 288880 314000 361100 451375 722200 902750 1444400 1805500 3611000 7222000