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21305214 = 2337157359
BaseRepresentation
bin101000101000…
…1011101111110
31111002102021000
41101101131332
520423231324
62040351130
7346043220
oct121213576
944072230
1021305214
1111031a17
1271754a6
13454c548
142b88410
151d0c9c9
hex145177e

21305214 has 64 divisors (see below), whose sum is σ = 54604800. Its totient is φ = 6031584.

The previous prime is 21305209. The next prime is 21305231. The reversal of 21305214 is 41250312.

It is a super-3 number, since 3×213052143 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 59167 + ... + 59525.

It is an arithmetic number, because the mean of its divisors is an integer number (853200).

Almost surely, 221305214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21305214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302400).

21305214 is an abundant number, since it is smaller than the sum of its proper divisors (33299586).

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

21305214 is a wasteful number, since it uses less digits than its factorization.

21305214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21305214 is about 4615.7571426582. The cubic root of 21305214 is about 277.2226008071. Note that the first 3 decimals are identical.

Adding to 21305214 its reverse (41250312), we get a palindrome (62555526).

The spelling of 21305214 in words is "twenty-one million, three hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 314 359 378 471 718 942 1077 1099 1413 2154 2198 2513 2826 3231 3297 4239 5026 6462 6594 7539 8478 9693 9891 15078 19386 19782 22617 29673 45234 56363 59346 67851 112726 135702 169089 338178 394541 507267 789082 1014534 1183623 1521801 2367246 3043602 3550869 7101738 10652607 21305214