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21998064 = 2431161683
BaseRepresentation
bin101001111101…
…0100111110000
31112101121200010
41103322213300
521112414224
62103254520
7354660204
oct123724760
945347603
1021998064
1111465520
12744a440
134732a0a
142cc8b04
151de7e29
hex14fa9f0

21998064 has 80 divisors (see below), whose sum is σ = 63103104. Its totient is φ = 6547200.

The previous prime is 21998033. The next prime is 21998107. The reversal of 21998064 is 46089912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31867 + ... + 32549.

Almost surely, 221998064 is an apocalyptic number.

21998064 is a gapful number since it is divisible by the number (24) 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 21998064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551552).

21998064 is an abundant number, since it is smaller than the sum of its proper divisors (41105040).

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

21998064 is a wasteful number, since it uses less digits than its factorization.

21998064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 21998064 is about 4690.2093769895. The cubic root of 21998064 is about 280.1957135091.

The spelling of 21998064 in words is "twenty-one million, nine hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 683 732 976 1342 1366 1464 2013 2049 2684 2732 2928 4026 4098 5368 5464 7513 8052 8196 10736 10928 15026 16104 16392 22539 30052 32208 32784 41663 45078 60104 83326 90156 120208 124989 166652 180312 249978 333304 360624 458293 499956 666608 916586 999912 1374879 1833172 1999824 2749758 3666344 5499516 7332688 10999032 21998064