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232014310020 = 2232512479103291
BaseRepresentation
bin1101100000010100100…
…0010110101010000100
3211011212110212010202100
43120011020112222010
512300131130410040
6254330315512100
722522350044553
oct3300510265204
9734773763670
10232014310020
118a440036159
1238b71158630
1318b56acbb9c
14b32dc6bd9a
15607dd3ab30
hex3605216a84

232014310020 has 72 divisors (see below), whose sum is σ = 703839951360. Its totient is φ = 61864925760.

The previous prime is 232014310001. The next prime is 232014310057. The reversal of 232014310020 is 20013410232.

232014310020 is a `hidden beast` number, since 2 + 320 + 14 + 310 + 0 + 20 = 666.

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 = 232014309975 and 232014310002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194575 + ... + 2297865.

It is an arithmetic number, because the mean of its divisors is an integer number (9775554880).

Almost surely, 2232014310020 is an apocalyptic number.

232014310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232014310020 is an abundant number, since it is smaller than the sum of its proper divisors (471825641340).

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

232014310020 is a wasteful number, since it uses less digits than its factorization.

232014310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115785 (or 115780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232014310020 its reverse (20013410232), we get a palindrome (252027720252).

The spelling of 232014310020 in words is "two hundred thirty-two billion, fourteen million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12479 24958 37437 49916 62395 74874 103291 112311 124790 149748 187185 206582 224622 249580 309873 374370 413164 449244 516455 561555 619746 748740 929619 1032910 1123110 1239492 1549365 1859238 2065820 2246220 3098730 3718476 4648095 6197460 9296190 18592380 1288968389 2577936778 3866905167 5155873556 6444841945 7733810334 11600715501 12889683890 15467620668 19334525835 23201431002 25779367780 38669051670 46402862004 58003577505 77338103340 116007155010 232014310020