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21214314 = 23211307349
BaseRepresentation
bin101000011101…
…1010001101010
31110220210120100
41100323101222
520412324224
62034410230
7345214212
oct120732152
943823510
1021214314
1110a7a6a0
127130976
13451a064
142b63242
151ce0ac9
hex143b46a

21214314 has 48 divisors (see below), whose sum is σ = 50450400. Its totient is φ = 6389280.

The previous prime is 21214309. The next prime is 21214321. The reversal of 21214314 is 41341212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60612 + ... + 60960.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 221214314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25225200).

21214314 is an abundant number, since it is smaller than the sum of its proper divisors (29236086).

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

21214314 is a wasteful number, since it uses less digits than its factorization.

21214314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 672 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21214314 is about 4605.8999120693. The cubic root of 21214314 is about 276.8277763594.

Adding to 21214314 its reverse (41341212), we get a palindrome (62555526).

It can be divided in two parts, 21214 and 314, that added together give a triangular number (21528 = T207).

The spelling of 21214314 in words is "twenty-one million, two hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 307 349 614 698 921 1047 1842 2094 2763 3141 3377 3839 5526 6282 6754 7678 10131 11517 20262 23034 30393 34551 60786 69102 107143 214286 321429 642858 964287 1178573 1928574 2357146 3535719 7071438 10607157 21214314