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20216364 = 22372943193
BaseRepresentation
bin100110100011…
…1101000101100
31102001002122020
41031013220230
520133410424
62001150140
7333556560
oct115075054
942032566
1020216364
1110458943
12692b350
13425aa5c
1429836a0
151b95079
hex1347a2c

20216364 has 96 divisors (see below), whose sum is σ = 57361920. Its totient is φ = 5419008.

The previous prime is 20216359. The next prime is 20216369. The reversal of 20216364 is 46361202.

It is an interprime number because it is at equal distance from previous prime (20216359) and next prime (20216369).

It is not an unprimeable number, because it can be changed into a prime (20216369) 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, 104652 + ... + 104844.

It is an arithmetic number, because the mean of its divisors is an integer number (597520).

Almost surely, 220216364 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 20216364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28680960).

20216364 is an abundant number, since it is smaller than the sum of its proper divisors (37145556).

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

20216364 is a wasteful number, since it uses less digits than its factorization.

20216364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20216364 is about 4496.2611134141. The cubic root of 20216364 is about 272.4170900588.

Adding to 20216364 its reverse (46361202), we get a palindrome (66577566).

It can be divided in two parts, 2021 and 6364, that added together give a triangular number (8385 = T129).

The spelling of 20216364 in words is "twenty million, two hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 43 58 84 86 87 116 129 172 174 193 203 258 301 348 386 406 516 579 602 609 772 812 903 1158 1204 1218 1247 1351 1806 2316 2436 2494 2702 3612 3741 4053 4988 5404 5597 7482 8106 8299 8729 11194 14964 16212 16598 16791 17458 22388 24897 26187 33196 33582 34916 39179 49794 52374 58093 67164 78358 99588 104748 116186 117537 156716 174279 232372 235074 240671 348558 470148 481342 697116 722013 962684 1444026 1684697 2888052 3369394 5054091 6738788 10108182 20216364