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23330330212 = 22721815931109
BaseRepresentation
bin10101101110100110…
…001001011001100100
32020012221010120110011
4111232212021121210
5340240031031322
614415013540004
71454101351300
oct255646113144
966187116404
1023330330212
1199923aa442
124631344604
13227a649327
1411b4718d00
15918310677
hex56e989664

23330330212 has 72 divisors (see below), whose sum is σ = 47879952120. Its totient is φ = 9917752320.

The previous prime is 23330330203. The next prime is 23330330281. The reversal of 23330330212 is 21203303332.

It can be written as a sum of positive squares in 4 ways, for example, as 1095345216 + 22234984996 = 33096^2 + 149114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21036714 + ... + 21037822.

It is an arithmetic number, because the mean of its divisors is an integer number (664999335).

Almost surely, 223330330212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23330330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23939976060).

23330330212 is an abundant number, since it is smaller than the sum of its proper divisors (24549621908).

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

23330330212 is a wasteful number, since it uses less digits than its factorization.

23330330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 23330330212 its reverse (21203303332), we get a palindrome (44533633544).

The spelling of 23330330212 in words is "twenty-three billion, three hundred thirty million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 593 724 1109 1186 1267 2218 2372 2534 4151 4436 5068 7763 8302 8869 15526 16604 17738 29057 31052 35476 54341 58114 107333 108682 116228 200729 214666 217364 401458 429332 657637 751331 802916 1315274 1405103 1502662 2630548 2810206 3005324 4603459 5259317 5620412 9206918 9835721 10518634 18413836 19671442 21037268 32224213 39342884 64448426 119032297 128896852 238064594 476129188 833226079 1666452158 3332904316 5832582553 11665165106 23330330212