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214451886 = 231153101607
BaseRepresentation
bin11001100100001…
…00011010101110
3112221112021200110
430302010122232
5414344430021
633140240450
75212545105
oct1462043256
9487467613
10214451886
11100063970
125b9a0126
133557730c
14206a503c
1513c61476
hexcc846ae

214451886 has 64 divisors (see below), whose sum is σ = 482236416. Its totient is φ = 63024000.

The previous prime is 214451873. The next prime is 214451891. The reversal of 214451886 is 688154412.

It is a super-2 number, since 2×2144518862 = 91979222817913992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 352995 + ... + 353601.

It is an arithmetic number, because the mean of its divisors is an integer number (7534944).

Almost surely, 2214451886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214451886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241118208).

214451886 is an abundant number, since it is smaller than the sum of its proper divisors (267784530).

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

214451886 is a wasteful number, since it uses less digits than its factorization.

214451886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its digits is 61440, while the sum is 39.

The square root of 214451886 is about 14644.1758388787. The cubic root of 214451886 is about 598.5631228313.

The spelling of 214451886 in words is "two hundred fourteen million, four hundred fifty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 53 66 101 106 159 202 303 318 583 606 607 1111 1166 1214 1749 1821 2222 3333 3498 3642 5353 6666 6677 10706 13354 16059 20031 32118 32171 40062 58883 61307 64342 96513 117766 122614 176649 183921 193026 353298 353881 367842 674377 707762 1061643 1348754 2023131 2123286 3249271 4046262 6498542 9747813 19495626 35741981 71483962 107225943 214451886