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20330212302 = 2332350932159
BaseRepresentation
bin10010111011110001…
…100110101111001110
31221110211212210101000
4102323301212233032
5313114013243202
613201203001130
71316541644661
oct227361465716
957424783330
1020330212302
118692969454
123b346691a6
131bbcc2322a
14dac0c16d8
157dec4691c
hex4bbc66bce

20330212302 has 64 divisors (see below), whose sum is σ = 47236608000. Its totient is φ = 6469160544.

The previous prime is 20330212237. The next prime is 20330212303. The reversal of 20330212302 is 20321203302.

It is a happy number.

20330212302 is a `hidden beast` number, since 20 + 330 + 2 + 12 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330212303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616099 + ... + 648257.

It is an arithmetic number, because the mean of its divisors is an integer number (738072000).

Almost surely, 220330212302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330212302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618304000).

20330212302 is an abundant number, since it is smaller than the sum of its proper divisors (26906395698).

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

20330212302 is a wasteful number, since it uses less digits than its factorization.

20330212302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32702 (or 32696 counting only the distinct ones).

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

Adding to 20330212302 its reverse (20321203302), we get a palindrome (40651415604).

The spelling of 20330212302 in words is "twenty billion, three hundred thirty million, two hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 509 621 1018 1242 1527 3054 4581 9162 11707 13743 23414 27486 32159 35121 64318 70242 96477 105363 192954 210726 289431 316089 578862 632178 739657 868293 1479314 1736586 2218971 4437942 6656913 13313826 16368931 19970739 32737862 39941478 49106793 98213586 147320379 294640758 376485413 441961137 752970826 883922274 1129456239 2258912478 3388368717 6776737434 10165106151 20330212302