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214300620 = 223351920887
BaseRepresentation
bin11001100010111…
…11011111001100
3112221020121012000
430301133133030
5414330104440
633133112300
75211345102
oct1461373714
9487217160
10214300620
11aaa70256
125b928690
1335523501
1420665c72
1513c31730
hexcc5f7cc

214300620 has 96 divisors (see below), whose sum is σ = 701836800. Its totient is φ = 54136512.

The previous prime is 214300577. The next prime is 214300621. The reversal of 214300620 is 26003412.

It is a happy number.

214300620 is a `hidden beast` number, since 2 + 1 + 43 + 0 + 0 + 620 = 666.

214300620 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 214300593 and 214300602.

It is not an unprimeable number, because it can be changed into a prime (214300621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (7310800).

Almost surely, 2214300620 is an apocalyptic number.

214300620 is a gapful number since it is divisible by the number (20) 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 214300620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350918400).

214300620 is an abundant number, since it is smaller than the sum of its proper divisors (487536180).

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

214300620 is a wasteful number, since it uses less digits than its factorization.

214300620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20924 (or 20916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214300620 is about 14639.0102124426. The cubic root of 214300620 is about 598.4223553648.

The spelling of 214300620 in words is "two hundred fourteen million, three hundred thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 20887 41774 62661 83548 104435 125322 187983 208870 250644 313305 375966 396853 417740 563949 626610 751932 793706 939915 1127898 1190559 1253220 1587412 1879830 1984265 2255796 2381118 2819745 3571677 3759660 3968530 4762236 5639490 5952795 7143354 7937060 10715031 11278980 11905590 14286708 17858385 21430062 23811180 35716770 42860124 53575155 71433540 107150310 214300620