Search a number
-
+
7227972 = 2232415983
BaseRepresentation
bin11011100100101001000100
3111121012220200
4123210221010
53322243342
6414530500
7115302543
oct33445104
914535820
107227972
114097534
122506a30
131660c0b
14d6215a
1597b94c
hex6e4a44

7227972 has 72 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 2282880.

The previous prime is 7227971. The next prime is 7227973. The reversal of 7227972 is 2797227.

It is an interprime number because it is at equal distance from previous prime (7227971) and next prime (7227973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7227971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87043 + ... + 87125.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 27227972 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 7227972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

7227972 is an abundant number, since it is smaller than the sum of its proper divisors (12034908).

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

7227972 is a wasteful number, since it uses less digits than its factorization.

7227972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 7227972 is about 2688.4887948437. The cubic root of 7227972 is about 193.3476155389.

The spelling of 7227972 in words is "seven million, two hundred twenty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 59 82 83 118 123 164 166 177 236 246 249 332 354 369 492 498 531 708 738 747 996 1062 1476 1494 2124 2419 2988 3403 4838 4897 6806 7257 9676 9794 10209 13612 14514 14691 19588 20418 21771 29028 29382 30627 40836 43542 44073 58764 61254 87084 88146 122508 176292 200777 401554 602331 803108 1204662 1806993 2409324 3613986 7227972