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21819330 = 232513171097
BaseRepresentation
bin101001100111…
…0111111000010
31112001112111100
41103032333002
521041204310
62055355230
7353314131
oct123167702
945045440
1021819330
1111353205
127382b16
13469c560
142c7d918
151daeec0
hex14cefc2

21819330 has 96 divisors (see below), whose sum is σ = 64746864. Its totient is φ = 5050368.

The previous prime is 21819323. The next prime is 21819331. The reversal of 21819330 is 3391812.

It can be written as a sum of positive squares in 8 ways, for example, as 6066369 + 15752961 = 2463^2 + 3969^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21819294 and 21819303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21819331) 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, 19342 + ... + 20438.

Almost surely, 221819330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21819330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32373432).

21819330 is an abundant number, since it is smaller than the sum of its proper divisors (42927534).

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

21819330 is a wasteful number, since it uses less digits than its factorization.

21819330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21819330 is about 4671.1165688730. The cubic root of 21819330 is about 279.4347866881.

It can be divided in two parts, 2181 and 9330, that added together give a palindrome (11511).

The spelling of 21819330 in words is "twenty-one million, eight hundred nineteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1097 1105 1170 1326 1530 1989 2194 2210 3291 3315 3978 5485 6582 6630 9873 9945 10970 14261 16455 18649 19746 19890 28522 32910 37298 42783 49365 55947 71305 85566 93245 98730 111894 128349 142610 167841 186490 213915 242437 256698 279735 335682 427830 484874 559470 641745 727311 839205 1212185 1283490 1454622 1678410 2181933 2424370 3636555 4363866 7273110 10909665 21819330