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21900216 = 23313174129
BaseRepresentation
bin101001110001…
…0101110111000
31112012122110010
41103202232320
521101301331
62101221520
7354102012
oct123425670
945178403
1021900216
11113a8a58
1274018a0
1346ca310
142ca11b2
151dc8e46
hex14e2bb8

21900216 has 64 divisors (see below), whose sum is σ = 62445600. Its totient is φ = 6340608.

The previous prime is 21900181. The next prime is 21900227. The reversal of 21900216 is 61200912.

It is a junction number, because it is equal to n+sod(n) for n = 21900192 and 21900201.

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 15 ways as a sum of consecutive naturals, for example, 3240 + ... + 7368.

Almost surely, 221900216 is an apocalyptic number.

21900216 is a gapful number since it is divisible by the number (26) 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 21900216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222800).

21900216 is an abundant number, since it is smaller than the sum of its proper divisors (40545384).

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

21900216 is a wasteful number, since it uses less digits than its factorization.

21900216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 21900216 is about 4679.7666608497. The cubic root of 21900216 is about 279.7796565802.

The spelling of 21900216 in words is "twenty-one million, nine hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 4129 5304 8258 12387 16516 24774 33032 49548 53677 70193 99096 107354 140386 161031 210579 214708 280772 322062 421158 429416 561544 644124 842316 912509 1288248 1684632 1825018 2737527 3650036 5475054 7300072 10950108 21900216