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21214125 = 3253109173
BaseRepresentation
bin101000011101…
…1001110101101
31110220210022100
41100323032231
520412323000
62034405313
7345213522
oct120731655
943823270
1021214125
1110a7a539
127130839
134519c4a
142b63149
151ce0a00
hex143b3ad

21214125 has 48 divisors (see below), whose sum is σ = 38815920. Its totient is φ = 11145600.

The previous prime is 21214117. The next prime is 21214133. The reversal of 21214125 is 52141212.

It is an interprime number because it is at equal distance from previous prime (21214117) and next prime (21214133).

It can be written as a sum of positive squares in 8 ways, for example, as 1447209 + 19766916 = 1203^2 + 4446^2 .

It is not a de Polignac number, because 21214125 - 23 = 21214117 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 21214098 and 21214107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122539 + ... + 122711.

It is an arithmetic number, because the mean of its divisors is an integer number (808665).

Almost surely, 221214125 is an apocalyptic number.

21214125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21214125 is a deficient number, since it is larger than the sum of its proper divisors (17601795).

21214125 is a wasteful number, since it uses less digits than its factorization.

21214125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 21214125 is about 4605.8793948604. The cubic root of 21214125 is about 276.8269542634.

Adding to 21214125 its reverse (52141212), we get a palindrome (73355337).

The spelling of 21214125 in words is "twenty-one million, two hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 109 125 173 225 327 375 519 545 865 981 1125 1557 1635 2595 2725 4325 4905 7785 8175 12975 13625 18857 21625 24525 38925 40875 56571 64875 94285 122625 169713 194625 282855 471425 848565 1414275 2357125 4242825 7071375 21214125