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213998424 = 23329349881
BaseRepresentation
bin11001100000101…
…01101101011000
3112220200020122120
430300111231120
5414240422144
633122421240
75205646053
oct1460255530
9486606576
10213998424
11aa884202
125b801820
1335448ab3
14205c7a9a
1513bc1e19
hexcc15b58

213998424 has 64 divisors (see below), whose sum is σ = 555660000. Its totient is φ = 68597760.

The previous prime is 213998399. The next prime is 213998441. The reversal of 213998424 is 424899312.

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 15 ways as a sum of consecutive naturals, for example, 242464 + ... + 243344.

Almost surely, 2213998424 is an apocalyptic number.

213998424 is a gapful number since it is divisible by the number (24) 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 213998424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277830000).

213998424 is an abundant number, since it is smaller than the sum of its proper divisors (341661576).

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

213998424 is a wasteful number, since it uses less digits than its factorization.

213998424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1264 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 213998424 is about 14628.6849716576. The cubic root of 213998424 is about 598.1409346314.

The spelling of 213998424 in words is "two hundred thirteen million, nine hundred ninety-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 349 696 698 881 1047 1396 1762 2094 2643 2792 3524 4188 5286 7048 8376 10121 10572 20242 21144 25549 30363 40484 51098 60726 76647 80968 102196 121452 153294 204392 242904 306588 307469 613176 614938 922407 1229876 1844814 2459752 3689628 7379256 8916601 17833202 26749803 35666404 53499606 71332808 106999212 213998424