Search a number
-
+
21805212 = 223111397131
BaseRepresentation
bin101001100101…
…1100010011100
31112000211010110
41103023202130
521040231322
62055210020
7353225022
oct123134234
945024113
1021805212
1111343640
127376910
134695cc0
142c78712
151daac0c
hex14cb89c

21805212 has 96 divisors (see below), whose sum is σ = 60850944. Its totient is φ = 5990400.

The previous prime is 21805181. The next prime is 21805213. The reversal of 21805212 is 21250812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21805213) 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, 166387 + ... + 166517.

It is an arithmetic number, because the mean of its divisors is an integer number (633864).

Almost surely, 221805212 is an apocalyptic number.

21805212 is a gapful number since it is divisible by the number (22) 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 21805212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30425472).

21805212 is an abundant number, since it is smaller than the sum of its proper divisors (39045732).

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

21805212 is a wasteful number, since it uses less digits than its factorization.

21805212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 21805212 is about 4669.6051224916. The cubic root of 21805212 is about 279.3745051015.

The spelling of 21805212 in words is "twenty-one million, eight hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 97 131 132 143 156 194 262 286 291 388 393 429 524 572 582 786 858 1067 1164 1261 1441 1572 1703 1716 2134 2522 2882 3201 3406 3783 4268 4323 5044 5109 5764 6402 6812 7566 8646 10218 12707 12804 13871 15132 17292 18733 20436 25414 27742 37466 38121 41613 50828 55484 56199 74932 76242 83226 112398 139777 152484 165191 166452 224796 279554 330382 419331 495573 559108 660764 838662 991146 1677324 1817101 1982292 3634202 5451303 7268404 10902606 21805212