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30225240 = 23325113743
BaseRepresentation
bin111001101001…
…1001101011000
32002212121020100
41303103031120
530214201430
62555455400
7514624143
oct163231530
962777210
1030225240
1116074741
12a157560
136353676
14402b05a
1529c0960
hex1cd3358

30225240 has 96 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 7977984.

The previous prime is 30225233. The next prime is 30225271. The reversal of 30225240 is 4252203.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40309 + ... + 41051.

It is an arithmetic number, because the mean of its divisors is an integer number (1033695).

Almost surely, 230225240 is an apocalyptic number.

30225240 is a gapful number since it is divisible by the number (30) 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 30225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

30225240 is an abundant number, since it is smaller than the sum of its proper divisors (69009480).

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

30225240 is a wasteful number, since it uses less digits than its factorization.

30225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30225240 is about 5497.7486301212. The cubic root of 30225240 is about 311.4989492290.

Adding to 30225240 its reverse (4252203), we get a palindrome (34477443).

The spelling of 30225240 in words is "thirty million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 743 904 1017 1130 1356 1486 1695 2034 2229 2260 2712 2972 3390 3715 4068 4458 4520 5085 5944 6687 6780 7430 8136 8916 10170 11145 13374 13560 14860 17832 20340 22290 26748 29720 33435 40680 44580 53496 66870 83959 89160 133740 167918 251877 267480 335836 419795 503754 671672 755631 839590 1007508 1259385 1511262 1679180 2015016 2518770 3022524 3358360 3778155 5037540 6045048 7556310 10075080 15112620 30225240