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214243220 = 225671011583
BaseRepresentation
bin11001100010100…
…01011110010100
3112221010200110002
430301101132110
5414321240340
633131550432
75211015542
oct1461213624
9487120402
10214243220
11aaa31114
125b8bb418
1335503349
142064cd92
1513c1e715
hexcc51794

214243220 has 48 divisors (see below), whose sum is σ = 461438208. Its totient is φ = 83529600.

The previous prime is 214243199. The next prime is 214243241. The reversal of 214243220 is 22342412.

It is an interprime number because it is at equal distance from previous prime (214243199) and next prime (214243241).

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 = 214243192 and 214243201.

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, 134549 + ... + 136131.

It is an arithmetic number, because the mean of its divisors is an integer number (9613296).

Almost surely, 2214243220 is an apocalyptic number.

214243220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214243220 is an abundant number, since it is smaller than the sum of its proper divisors (247194988).

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

214243220 is a wasteful number, since it uses less digits than its factorization.

214243220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214243220 is about 14637.0495660840. The cubic root of 214243220 is about 598.3689218432.

Adding to 214243220 its reverse (22342412), we get a palindrome (236585632).

The spelling of 214243220 in words is "two hundred fourteen million, two hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 101 134 202 268 335 404 505 670 1010 1340 1583 2020 3166 6332 6767 7915 13534 15830 27068 31660 33835 67670 106061 135340 159883 212122 319766 424244 530305 639532 799415 1060610 1598830 2121220 3197660 10712161 21424322 42848644 53560805 107121610 214243220