Search a number
-
+
21902166 = 232111367127
BaseRepresentation
bin101001110001…
…1001101010110
31112012202010100
41103203031112
521101332131
62101234530
7354110466
oct123431526
945182110
1021902166
11113aa470
127402a46
1346cb180
142ca1ba6
151dc97e6
hex14e3356

21902166 has 96 divisors (see below), whose sum is σ = 57028608. Its totient is φ = 5987520.

The previous prime is 21902143. The next prime is 21902173. The reversal of 21902166 is 66120912.

It is a super-3 number, since 3×219021663 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172395 + ... + 172521.

It is an arithmetic number, because the mean of its divisors is an integer number (594048).

Almost surely, 221902166 is an apocalyptic number.

21902166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21902166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28514304).

21902166 is an abundant number, since it is smaller than the sum of its proper divisors (35126442).

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

21902166 is a wasteful number, since it uses less digits than its factorization.

21902166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

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

The square root of 21902166 is about 4679.9749999332. The cubic root of 21902166 is about 279.7879602143.

It can be divided in two parts, 2190 and 2166, that added together give a square (4356 = 662).

The spelling of 21902166 in words is "twenty-one million, nine hundred two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 67 78 99 117 127 134 143 198 201 234 254 286 381 402 429 603 737 762 858 871 1143 1206 1287 1397 1474 1651 1742 2211 2286 2574 2613 2794 3302 4191 4422 4953 5226 6633 7839 8382 8509 9581 9906 12573 13266 14859 15678 17018 18161 19162 25146 25527 28743 29718 36322 51054 54483 57486 76581 86229 93599 108966 110617 153162 163449 172458 187198 221234 280797 326898 331851 561594 663702 842391 995553 1216787 1684782 1991106 2433574 3650361 7300722 10951083 21902166