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21998016 = 2632181211
BaseRepresentation
bin101001111101…
…0100111000000
31112101121121100
41103322213000
521112414031
62103254400
7354660105
oct123724700
945347540
1021998016
1111465487
12744a400
1347329a1
142cc8aac
151de7de6
hex14fa9c0

21998016 has 84 divisors (see below), whose sum is σ = 63702184. Its totient is φ = 7257600.

The previous prime is 21997981. The next prime is 21998027. The reversal of 21998016 is 61089912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104151 + ... + 104361.

Almost surely, 221998016 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 21998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31851092).

21998016 is an abundant number, since it is smaller than the sum of its proper divisors (41704168).

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

21998016 is a wasteful number, since it uses less digits than its factorization.

21998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 21998016 is about 4690.2042599443. The cubic root of 21998016 is about 280.1955097123.

The spelling of 21998016 in words is "twenty-one million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 211 288 362 422 543 576 633 724 844 1086 1266 1448 1629 1688 1899 2172 2532 2896 3258 3376 3798 4344 5064 5792 6516 6752 7596 8688 10128 11584 13032 13504 15192 17376 20256 26064 30384 34752 38191 40512 52128 60768 76382 104256 114573 121536 152764 229146 305528 343719 458292 611056 687438 916584 1222112 1374876 1833168 2444224 2749752 3666336 5499504 7332672 10999008 21998016