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232422020010 = 232517178385199
BaseRepresentation
bin1101100001110101101…
…1101001001110101010
3211012220220000221201100
43120131123221032222
512302000014120020
6254435002302230
722535430400455
oct3303533511652
9735826027640
10232422020010
118a62a197764
12390657b7976
1318bc040c8bb
14b36c07c49c
1560a4a23a90
hex361d6e93aa

232422020010 has 96 divisors (see below), whose sum is σ = 640210521600. Its totient is φ = 58299969024.

The previous prime is 232422020009. The next prime is 232422020011. The reversal of 232422020010 is 10020224232.

232422020010 is a `hidden beast` number, since 2 + 32 + 422 + 0 + 200 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (232422020009) and next prime (232422020011).

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

It is not an unprimeable number, because it can be changed into a prime (232422020011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2685391 + ... + 2770589.

It is an arithmetic number, because the mean of its divisors is an integer number (6668859600).

Almost surely, 2232422020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232422020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320105260800).

232422020010 is an abundant number, since it is smaller than the sum of its proper divisors (407788501590).

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

232422020010 is a wasteful number, since it uses less digits than its factorization.

232422020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87012 (or 87009 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232422020010 its reverse (10020224232), we get a palindrome (242442244242).

The spelling of 232422020010 in words is "two hundred thirty-two billion, four hundred twenty-two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1783 3566 5349 8915 10698 16047 17830 26745 30311 32094 53490 60622 80235 85199 90933 151555 160470 170398 181866 255597 272799 303110 425995 454665 511194 545598 766791 851990 909330 1277985 1363995 1448383 1533582 2555970 2727990 2896766 3833955 4345149 7241915 7667910 8690298 13035447 14483830 21725745 26070894 43451490 65177235 130354470 151909817 303819634 455729451 759549085 911458902 1367188353 1519098170 2278647255 2582466889 2734376706 4557294510 5164933778 6835941765 7747400667 12912334445 13671883530 15494801334 23242202001 25824668890 38737003335 46484404002 77474006670 116211010005 232422020010