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21999912 = 23311167499
BaseRepresentation
bin101001111101…
…1000100101000
31112101201012120
41103323010220
521112444122
62103311240
7354665454
oct123730450
945351176
1021999912
1111466950
12744b520
1347337cc
142cc9664
151de875c
hex14fb128

21999912 has 64 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 6613440.

The previous prime is 21999911. The next prime is 21999917.

21999912 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×219999123 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21999911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43839 + ... + 44337.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 221999912 is an apocalyptic number.

21999912 is a gapful number since it is divisible by the number (22) 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 21999912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

21999912 is an abundant number, since it is smaller than the sum of its proper divisors (38480088).

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

21999912 is a wasteful number, since it uses less digits than its factorization.

21999912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its digits is 26244, while the sum is 42.

The square root of 21999912 is about 4690.4063789825. The cubic root of 21999912 is about 280.2035594598.

The spelling of 21999912 in words is "twenty-one million, nine hundred ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 499 501 668 998 1002 1336 1497 1837 1996 2004 2994 3674 3992 4008 5489 5511 5988 7348 10978 11022 11976 14696 16467 21956 22044 32934 43912 44088 65868 83333 131736 166666 249999 333332 499998 666664 916663 999996 1833326 1999992 2749989 3666652 5499978 7333304 10999956 21999912