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7228764 = 22363767
BaseRepresentation
bin11011100100110101011100
3111121021000000
4123210311130
53322310024
6414534300
7115305054
oct33446534
914537000
107228764
114098094
122507390
13166139a
14d62564
1597bcc9
hex6e4d5c

7228764 has 84 divisors (see below), whose sum is σ = 19770184. Its totient is φ = 2309472.

The previous prime is 7228747. The next prime is 7228769. The reversal of 7228764 is 4678227.

7228764 = T85 + T86 + ... + T352.

It is a super-6 number, since 6×72287646 (a number of 42 digits) contains 666666 as substring.

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 (7228769) 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 27 ways as a sum of consecutive naturals, for example, 107859 + ... + 107925.

Almost surely, 27228764 is an apocalyptic number.

7228764 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7228764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885092).

7228764 is an abundant number, since it is smaller than the sum of its proper divisors (12541420).

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

7228764 is a wasteful number, since it uses less digits than its factorization.

7228764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7228764 is about 2688.6360854530. The cubic root of 7228764 is about 193.3546772578.

The spelling of 7228764 in words is "seven million, two hundred twenty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 67 74 81 108 111 134 148 162 201 222 243 268 324 333 402 444 486 603 666 729 804 972 999 1206 1332 1458 1809 1998 2412 2479 2916 2997 3618 3996 4958 5427 5994 7236 7437 8991 9916 10854 11988 14874 16281 17982 21708 22311 26973 29748 32562 35964 44622 48843 53946 65124 66933 89244 97686 107892 133866 195372 200799 267732 401598 602397 803196 1204794 1807191 2409588 3614382 7228764