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214231520 = 2555872281
BaseRepresentation
bin11001100010011…
…10100111100000
3112221010002101202
430301032213200
5414320402040
633131420332
75210636456
oct1461164740
9487102352
10214231520
11aaa23348
125b8b46a8
13354cac19
14206489d6
1513c1b015
hexcc4e9e0

214231520 has 48 divisors (see below), whose sum is σ = 507206448. Its totient is φ = 85509120.

The previous prime is 214231487. The next prime is 214231531. The reversal of 214231520 is 25132412.

214231520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 214231492 and 214231501.

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 7 ways as a sum of consecutive naturals, for example, 92780 + ... + 95060.

It is an arithmetic number, because the mean of its divisors is an integer number (10566801).

Almost surely, 2214231520 is an apocalyptic number.

214231520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214231520 is an abundant number, since it is smaller than the sum of its proper divisors (292974928).

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

214231520 is a wasteful number, since it uses less digits than its factorization.

214231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 214231520 is about 14636.6498899167. The cubic root of 214231520 is about 598.3580291705.

Adding to 214231520 its reverse (25132412), we get a palindrome (239363932).

The spelling of 214231520 in words is "two hundred fourteen million, two hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 587 1174 2281 2348 2935 4562 4696 5870 9124 9392 11405 11740 18248 18784 22810 23480 36496 45620 46960 72992 91240 93920 182480 364960 1338947 2677894 5355788 6694735 10711576 13389470 21423152 26778940 42846304 53557880 107115760 214231520