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30226320 = 2432541981
BaseRepresentation
bin111001101001…
…1011110010000
32002212122201100
41303103132100
530214220240
62555504400
7514630245
oct163233620
962778640
1030226320
1116075533
12a158100
136353cc7
14402b5cc
1529c0e30
hex1cd3790

30226320 has 60 divisors (see below), whose sum is σ = 101512476. Its totient is φ = 8060160.

The previous prime is 30226303. The next prime is 30226351. The reversal of 30226320 is 2362203.

30226320 is a `hidden beast` number, since 30 + 2 + 2 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 25765776 = 2112^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30226293 and 30226302.

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 11 ways as a sum of consecutive naturals, for example, 20271 + ... + 21710.

Almost surely, 230226320 is an apocalyptic number.

30226320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30226320 is an abundant number, since it is smaller than the sum of its proper divisors (71286156).

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

30226320 is a wasteful number, since it uses less digits than its factorization.

30226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42000 (or 41991 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30226320 is about 5497.8468512682. The cubic root of 30226320 is about 311.5026593165.

Adding to 30226320 its reverse (2362203), we get a palindrome (32588523).

The spelling of 30226320 in words is "thirty million, two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 41981 83962 125943 167924 209905 251886 335848 377829 419810 503772 629715 671696 755658 839620 1007544 1259430 1511316 1679240 1889145 2015088 2518860 3022632 3358480 3778290 5037720 6045264 7556580 10075440 15113160 30226320