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21865668 = 223113372
BaseRepresentation
bin101001101101…
…0010011000100
31112010220001120
41103122103010
521044200133
62100353540
7353566206
oct123322304
945126046
1021865668
1111385000
1273a58b0
1346b7686
142c92776
151dbdab3
hex14da4c4

21865668 has 72 divisors (see below), whose sum is σ = 57675744. Its totient is φ = 6446880.

The previous prime is 21865661. The next prime is 21865687. The reversal of 21865668 is 86656812.

It is not an unprimeable number, because it can be changed into a prime (21865661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590946 + ... + 590982.

It is an arithmetic number, because the mean of its divisors is an integer number (801052).

Almost surely, 221865668 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 21865668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28837872).

21865668 is an abundant number, since it is smaller than the sum of its proper divisors (35810076).

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

21865668 is a wasteful number, since it uses less digits than its factorization.

21865668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 53 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 21865668 is about 4676.0739942820. The cubic root of 21865668 is about 279.6324599390.

The spelling of 21865668 in words is "twenty-one million, eight hundred sixty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1331 1369 1452 1628 2442 2662 2738 3993 4107 4477 4884 5324 5476 7986 8214 8954 13431 15059 15972 16428 17908 26862 30118 45177 49247 53724 60236 90354 98494 147741 165649 180708 196988 295482 331298 496947 590964 662596 993894 1822139 1987788 3644278 5466417 7288556 10932834 21865668