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21910812 = 223711231031
BaseRepresentation
bin101001110010…
…1010100011100
31112020011222120
41103211110130
521102121222
62101342540
7354144630
oct123452434
945204876
1021910812
1111405a10
127407a50
1347020a1
142ca4dc0
151dcc15c
hex14e551c

21910812 has 96 divisors (see below), whose sum is σ = 66576384. Its totient is φ = 5438400.

The previous prime is 21910799. The next prime is 21910829. The reversal of 21910812 is 21801912.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20737 + ... + 21767.

It is an arithmetic number, because the mean of its divisors is an integer number (693504).

Almost surely, 221910812 is an apocalyptic number.

21910812 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 21910812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288192).

21910812 is an abundant number, since it is smaller than the sum of its proper divisors (44665572).

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

21910812 is a wasteful number, since it uses less digits than its factorization.

21910812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 21910812 is about 4680.8986316732. The cubic root of 21910812 is about 279.8247713142.

Subtracting from 21910812 its reverse (21801912), we obtain a square (108900 = 3302).

It can be divided in two parts, 21910 and 812, that added together give a palindrome (22722).

The spelling of 21910812 in words is "twenty-one million, nine hundred ten thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1031 1518 1771 1932 2062 3036 3093 3542 4124 5313 6186 7084 7217 10626 11341 12372 14434 21252 21651 22682 23713 28868 34023 43302 45364 47426 68046 71139 79387 86604 94852 136092 142278 158774 165991 238161 260843 284556 317548 331982 476322 497973 521686 663964 782529 952644 995946 1043372 1565058 1825901 1991892 3130116 3651802 5477703 7303604 10955406 21910812