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214324220 = 225114123761
BaseRepresentation
bin11001100011001…
…01001111111100
3112221021210120002
430301211033330
5414331333340
633133413432
75211503645
oct1461451774
9487253502
10214324220
11aaa86a60
125b93a278
1335531186
14206706cc
1513c38715
hexcc653fc

214324220 has 48 divisors (see below), whose sum is σ = 502994016. Its totient is φ = 76032000.

The previous prime is 214324217. The next prime is 214324267. The reversal of 214324220 is 22423412.

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 = 214324192 and 214324201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (10479042).

Almost surely, 2214324220 is an apocalyptic number.

214324220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214324220 is an abundant number, since it is smaller than the sum of its proper divisors (288669796).

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

214324220 is a wasteful number, since it uses less digits than its factorization.

214324220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23822 (or 23820 counting only the distinct ones).

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

The square root of 214324220 is about 14639.8162556775. The cubic root of 214324220 is about 598.4443217800. Note that the first 3 decimals are identical.

Adding to 214324220 its reverse (22423412), we get a palindrome (236747632).

It can be divided in two parts, 21432 and 4220, that added together give a palindrome (25652).

The spelling of 214324220 in words is "two hundred fourteen million, three hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 23761 47522 95044 118805 237610 261371 475220 522742 974201 1045484 1306855 1948402 2613710 3896804 4871005 5227420 9742010 10716211 19484020 21432422 42864844 53581055 107162110 214324220