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214084740 = 223517209887
BaseRepresentation
bin11001100001010…
…10110010000100
3112220211122001110
430300222302010
5414301202430
633124325020
75206455522
oct1460526204
9486748043
10214084740
11aa933041
125b843770
133547917c
142060b312
1513bdc7b0
hexcc2ac84

214084740 has 48 divisors (see below), whose sum is σ = 634701312. Its totient is φ = 53730816.

The previous prime is 214084711. The next prime is 214084753. The reversal of 214084740 is 47480412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214084698 and 214084707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103924 + ... + 105963.

It is an arithmetic number, because the mean of its divisors is an integer number (13222944).

Almost surely, 2214084740 is an apocalyptic number.

214084740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214084740 is an abundant number, since it is smaller than the sum of its proper divisors (420616572).

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

214084740 is a wasteful number, since it uses less digits than its factorization.

214084740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209916 (or 209914 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 214084740 is about 14631.6349052319. The cubic root of 214084740 is about 598.2213436238.

The spelling of 214084740 in words is "two hundred fourteen million, eighty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 209887 419774 629661 839548 1049435 1259322 2098870 2518644 3148305 3568079 4197740 6296610 7136158 10704237 12593220 14272316 17840395 21408474 35680790 42816948 53521185 71361580 107042370 214084740