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12214640 = 245612503
BaseRepresentation
bin101110100110…
…000101110000
3211222120100002
4232212011300
511111332030
61113445132
7205552124
oct56460560
924876302
1012214640
116993049
1241107a8
1326b88c9
14189d584
151114245
hexba6170

12214640 has 40 divisors (see below), whose sum is σ = 28876128. Its totient is φ = 4803840.

The previous prime is 12214639. The next prime is 12214673. The reversal of 12214640 is 4641221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3629 + ... + 6131.

Almost surely, 212214640 is an apocalyptic number.

12214640 is a gapful number since it is divisible by the number (10) 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 12214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438064).

12214640 is an abundant number, since it is smaller than the sum of its proper divisors (16661488).

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

12214640 is a wasteful number, since it uses less digits than its factorization.

12214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12214640 is about 3494.9449208822. The cubic root of 12214640 is about 230.2997980883.

Adding to 12214640 its reverse (4641221), we get a palindrome (16855861).

The spelling of 12214640 in words is "twelve million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2503 4880 5006 10012 12515 20024 25030 40048 50060 100120 152683 200240 305366 610732 763415 1221464 1526830 2442928 3053660 6107320 12214640