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20332333340 = 22511614793163
BaseRepresentation
bin10010111011111001…
…101100100100011100
31221110222212112212222
4102323321230210130
5313120034131330
613201320244512
71316565660524
oct227371544434
957428775788
1020332333340
118694087a80
123b35310738
131bc04b6797
14dac4b4684
157e00150e5
hex4bbe6c91c

20332333340 has 96 divisors (see below), whose sum is σ = 47456962560. Its totient is φ = 7254892800.

The previous prime is 20332333327. The next prime is 20332333361. The reversal of 20332333340 is 4333323302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6426599 + ... + 6429761.

It is an arithmetic number, because the mean of its divisors is an integer number (494343360).

Almost surely, 220332333340 is an apocalyptic number.

20332333340 is a gapful number since it is divisible by the number (20) 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 20332333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728481280).

20332333340 is an abundant number, since it is smaller than the sum of its proper divisors (27124629220).

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

20332333340 is a wasteful number, since it uses less digits than its factorization.

20332333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 26.

Adding to 20332333340 its reverse (4333323302), we get a palindrome (24665656642).

The spelling of 20332333340 in words is "twenty billion, three hundred thirty-two million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 479 610 671 958 1220 1342 1916 2395 2684 3163 3355 4790 5269 6326 6710 9580 10538 12652 13420 15815 21076 26345 29219 31630 34793 52690 58438 63260 69586 105380 116876 139172 146095 173965 192943 292190 321409 347930 385886 584380 642818 695860 771772 964715 1285636 1515077 1607045 1929430 2122373 3030154 3214090 3858860 4244746 6060308 6428180 7575385 8489492 10611865 15150770 16665847 21223730 30301540 33331694 42447460 66663388 83329235 92419697 166658470 184839394 333316940 369678788 462098485 924196970 1016616667 1848393940 2033233334 4066466668 5083083335 10166166670 20332333340