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21921216 = 2632931127
BaseRepresentation
bin101001110011…
…1110111000000
31112020201020220
41103213313000
521102434331
62101503040
7354220152
oct123476700
945221226
1021921216
1111412809
127411a80
134706a45
142ca8ad2
151dd0296
hex14e7dc0

21921216 has 112 divisors (see below), whose sum is σ = 62423040. Its totient is φ = 6773760.

The previous prime is 21921191. The next prime is 21921227. The reversal of 21921216 is 61212912.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 172545 + ... + 172671.

Almost surely, 221921216 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 21921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31211520).

21921216 is an abundant number, since it is smaller than the sum of its proper divisors (40501824).

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

21921216 is a wasteful number, since it uses less digits than its factorization.

21921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 21921216 is about 4682.0098248509. The cubic root of 21921216 is about 279.8690544174.

The spelling of 21921216 in words is "twenty-one million, nine hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 127 174 186 192 232 248 254 348 372 381 464 496 508 696 744 762 899 928 992 1016 1392 1488 1524 1798 1856 1984 2032 2697 2784 2976 3048 3596 3683 3937 4064 5394 5568 5952 6096 7192 7366 7874 8128 10788 11049 11811 12192 14384 14732 15748 21576 22098 23622 24384 28768 29464 31496 43152 44196 47244 57536 58928 62992 86304 88392 94488 114173 117856 125984 172608 176784 188976 228346 235712 251968 342519 353568 377952 456692 685038 707136 755904 913384 1370076 1826768 2740152 3653536 5480304 7307072 10960608 21921216