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21917412 = 22331119971
BaseRepresentation
bin101001110011…
…0111011100100
31112020112001000
41103212323210
521102324122
62101433300
7354203106
oct123467344
945215030
1021917412
111140a970
12740b830
1347050aa
142ca7576
151dce0ac
hex14e6ee4

21917412 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 6285600.

The previous prime is 21917351. The next prime is 21917419. The reversal of 21917412 is 21471912.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21917419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22087 + ... + 23057.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 221917412 is an apocalyptic number.

21917412 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 21917412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

21917412 is an abundant number, since it is smaller than the sum of its proper divisors (43400988).

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

21917412 is a wasteful number, since it uses less digits than its factorization.

21917412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 21917412 is about 4681.6035714272. The cubic root of 21917412 is about 279.8528648735.

The spelling of 21917412 in words is "twenty-one million, nine hundred seventeen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 971 1026 1188 1254 1881 1942 2052 2508 2913 3762 3884 5643 5826 7524 8739 10681 11286 11652 17478 18449 21362 22572 26217 32043 34956 36898 42724 52434 55347 64086 73796 96129 104868 110694 128172 166041 192258 202939 221388 288387 332082 384516 405878 498123 576774 608817 664164 811756 996246 1153548 1217634 1826451 1992492 2435268 3652902 5479353 7305804 10958706 21917412