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214681936 = 247261672
BaseRepresentation
bin11001100101111…
…00100101010000
3112221221222020211
430302330211100
5414424310221
633145213504
75214523600
oct1462744520
9487858224
10214681936
11100200797
125ba91294
1335627c41
1420724c00
1513ca96e1
hexccbc950

214681936 has 90 divisors (see below), whose sum is σ = 499237578. Its totient is φ = 89147520.

The previous prime is 214681927. The next prime is 214681937. The reversal of 214681936 is 639186412.

It can be written as a sum of positive squares in only one way, i.e., 126697536 + 87984400 = 11256^2 + 9380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214681937) 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 17 ways as a sum of consecutive naturals, for example, 3204175 + ... + 3204241.

Almost surely, 2214681936 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 214681936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249618789).

214681936 is an abundant number, since it is smaller than the sum of its proper divisors (284555642).

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

214681936 is an equidigital number, since it uses as much as digits as its factorization.

214681936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 137 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 214681936 is about 14652.0283920009. The cubic root of 214681936 is about 598.7770795063. Note that the first 3 decimals are identical.

The spelling of 214681936 in words is "two hundred fourteen million, six hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 67 98 112 122 134 196 244 268 392 427 469 488 536 784 854 938 976 1072 1708 1876 2989 3283 3416 3752 4087 4489 5978 6566 6832 7504 8174 8978 11956 13132 16348 17956 23912 26264 28609 31423 32696 35912 47824 52528 57218 62846 65392 71824 114436 125692 200263 219961 228872 251384 273829 400526 439922 457744 502768 547658 801052 879844 1095316 1602104 1759688 1916803 2190632 3204208 3519376 3833606 4381264 7667212 13417621 15334424 26835242 30668848 53670484 107340968 214681936