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30224640 = 283517463
BaseRepresentation
bin111001101001…
…1000100000000
32002212120102010
41303103010000
530214142030
62555452520
7514622325
oct163230400
962776363
1030224640
1116074246
12a157140
136353304
14402ab4c
1529c06b0
hex1cd3100

30224640 has 144 divisors (see below), whose sum is σ = 102428928. Its totient is φ = 7569408.

The previous prime is 30224639. The next prime is 30224669. The reversal of 30224640 is 4642203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65049 + ... + 65511.

It is an arithmetic number, because the mean of its divisors is an integer number (711312).

Almost surely, 230224640 is an apocalyptic number.

30224640 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 30224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51214464).

30224640 is an abundant number, since it is smaller than the sum of its proper divisors (72204288).

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

30224640 is a wasteful number, since it uses less digits than its factorization.

30224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30224640 is about 5497.6940620591. The cubic root of 30224640 is about 311.4968880310.

Adding to 30224640 its reverse (4642203), we get a palindrome (34866843).

It can be divided in two parts, 302 and 24640, that added together give a palindrome (24942).

The spelling of 30224640 in words is "thirty million, two hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 463 480 510 544 640 680 768 816 926 960 1020 1088 1280 1360 1389 1632 1852 1920 2040 2176 2315 2720 2778 3264 3704 3840 4080 4352 4630 5440 5556 6528 6945 7408 7871 8160 9260 10880 11112 13056 13890 14816 15742 16320 18520 21760 22224 23613 27780 29632 31484 32640 37040 39355 44448 47226 55560 59264 62968 65280 74080 78710 88896 94452 111120 118065 118528 125936 148160 157420 177792 188904 222240 236130 251872 296320 314840 355584 377808 444480 472260 503744 592640 629680 755616 888960 944520 1007488 1259360 1511232 1777920 1889040 2014976 2518720 3022464 3778080 5037440 6044928 7556160 10074880 15112320 30224640