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7226460 = 22325192113
BaseRepresentation
bin11011100100010001011100
3111121010211200
4123210101130
53322221320
6414515500
7115265253
oct33442134
914533750
107226460
11409638a
122505b90
131660317
14d6179a
1597b290
hex6e445c

7226460 has 72 divisors (see below), whose sum is σ = 23084880. Its totient is φ = 1824768.

The previous prime is 7226447. The next prime is 7226467. The reversal of 7226460 is 646227.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (7226467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2364 + ... + 4476.

Almost surely, 27226460 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 7226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542440).

7226460 is an abundant number, since it is smaller than the sum of its proper divisors (15858420).

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

7226460 is a wasteful number, since it uses less digits than its factorization.

7226460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2142 counting only the distinct ones).

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

The square root of 7226460 is about 2688.2075812705. The cubic root of 7226460 is about 193.3341326430.

The spelling of 7226460 in words is "seven million, two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2113 3420 4226 6339 8452 10565 12678 19017 21130 25356 31695 38034 40147 42260 63390 76068 80294 95085 120441 126780 160588 190170 200735 240882 361323 380340 401470 481764 602205 722646 802940 1204410 1445292 1806615 2408820 3613230 7226460