Search a number
-
+
7224480 = 2532529173
BaseRepresentation
bin11011100011110010100000
3111121001010100
4123203302200
53322140410
6414502400
7115256424
oct33436240
914531110
107224480
11409494a
122504a00
13165c453
14d60b84
1597a8c0
hex6e3ca0

7224480 has 144 divisors (see below), whose sum is σ = 25651080. Its totient is φ = 1849344.

The previous prime is 7224479. The next prime is 7224493. The reversal of 7224480 is 844227.

7224480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 318096 = 2628^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72244802 = 104386222540800, which contains 22 as substring.

It is an unprimeable number.

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, 41674 + ... + 41846.

Almost surely, 27224480 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 7224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825540).

7224480 is an abundant number, since it is smaller than the sum of its proper divisors (18426600).

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

7224480 is a wasteful number, since it uses less digits than its factorization.

7224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7224480 is about 2687.8392809095. The cubic root of 7224480 is about 193.3164736256.

The spelling of 7224480 in words is "seven million, two hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 173 174 180 232 240 261 288 290 346 348 360 435 464 480 519 522 580 692 696 720 865 870 928 1038 1044 1160 1305 1384 1392 1440 1557 1730 1740 2076 2088 2320 2595 2610 2768 2784 3114 3460 3480 4152 4176 4640 5017 5190 5220 5536 6228 6920 6960 7785 8304 8352 10034 10380 10440 12456 13840 13920 15051 15570 16608 20068 20760 20880 24912 25085 27680 30102 31140 40136 41520 41760 45153 49824 50170 60204 62280 75255 80272 83040 90306 100340 120408 124560 150510 160544 180612 200680 225765 240816 249120 301020 361224 401360 451530 481632 602040 722448 802720 903060 1204080 1444896 1806120 2408160 3612240 7224480