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7228332 = 22331731127
BaseRepresentation
bin11011100100101110101100
3111121020102000
4123210232230
53322301312
6414532300
7115303566
oct33445654
914536360
107228332
114097831
122507090
131661127
14d62336
1597badc
hex6e4bac

7228332 has 96 divisors (see below), whose sum is σ = 20643840. Its totient is φ = 2177280.

The previous prime is 7228321. The next prime is 7228373. The reversal of 7228332 is 2338227.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7228296 and 7228305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56853 + ... + 56979.

It is an arithmetic number, because the mean of its divisors is an integer number (215040).

Almost surely, 27228332 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 7228332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321920).

7228332 is an abundant number, since it is smaller than the sum of its proper divisors (13415508).

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

7228332 is a wasteful number, since it uses less digits than its factorization.

7228332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 7228332 is about 2688.5557461210. Note that the first 3 decimals coincide. The cubic root of 7228332 is about 193.3508254751.

The spelling of 7228332 in words is "seven million, two hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 127 153 186 204 254 279 306 372 381 459 508 527 558 612 762 837 918 1054 1116 1143 1524 1581 1674 1836 2108 2159 2286 3162 3348 3429 3937 4318 4572 4743 6324 6477 6858 7874 8636 9486 11811 12954 13716 14229 15748 18972 19431 23622 25908 28458 35433 38862 47244 56916 58293 66929 70866 77724 106299 116586 133858 141732 200787 212598 233172 267716 401574 425196 602361 803148 1204722 1807083 2409444 3614166 7228332