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214425684 = 223311199907
BaseRepresentation
bin11001100011111…
…10000001010100
3112221110221202000
430301332001110
5414343110214
633135515300
75212405524
oct1461760124
9487427660
10214425684
11100046210
125b988b30
1335568405
1420699684
1513c58809
hexcc7e054

214425684 has 96 divisors (see below), whose sum is σ = 610176000. Its totient is φ = 64579680.

The previous prime is 214425683. The next prime is 214425713. The reversal of 214425684 is 486524412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214425683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235959 + ... + 236865.

It is an arithmetic number, because the mean of its divisors is an integer number (6356000).

Almost surely, 2214425684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214425684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305088000).

214425684 is an abundant number, since it is smaller than the sum of its proper divisors (395750316).

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

214425684 is a wasteful number, since it uses less digits than its factorization.

214425684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 214425684 is about 14643.2811896788. The cubic root of 214425684 is about 598.5387441077.

The spelling of 214425684 in words is "two hundred fourteen million, four hundred twenty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 199 297 396 398 594 597 796 907 1188 1194 1791 1814 2189 2388 2721 3582 3628 4378 5373 5442 6567 7164 8163 8756 9977 10746 10884 13134 16326 19701 19954 21492 24489 26268 29931 32652 39402 39908 48978 59103 59862 78804 89793 97956 118206 119724 179586 180493 236412 269379 359172 360986 538758 541479 721972 1077516 1082958 1624437 1985423 2165916 3248874 3970846 4873311 5956269 6497748 7941692 9746622 11912538 17868807 19493244 23825076 35737614 53606421 71475228 107212842 214425684