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214830450 = 232521992399
BaseRepresentation
bin11001100111000…
…00110101110010
3112222020111222100
430303200311302
5414444033300
633152321230
75216012562
oct1463406562
9488214870
10214830450
111002a232a
125bb43216
133567a713
1420762da2
1513cd8700
hexcce0d72

214830450 has 72 divisors (see below), whose sum is σ = 580320000. Its totient is φ = 56976480.

The previous prime is 214830443. The next prime is 214830457. The reversal of 214830450 is 54038412.

214830450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214830443) and next prime (214830457).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214830457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88351 + ... + 90749.

It is an arithmetic number, because the mean of its divisors is an integer number (8060000).

Almost surely, 2214830450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214830450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160000).

214830450 is an abundant number, since it is smaller than the sum of its proper divisors (365489550).

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

214830450 is a wasteful number, since it uses less digits than its factorization.

214830450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214830450 is about 14657.0955513021. The cubic root of 214830450 is about 598.9151229185.

Adding to 214830450 its reverse (54038412), we get a palindrome (268868862).

The spelling of 214830450 in words is "two hundred fourteen million, eight hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1791 1990 2399 2985 3582 4798 4975 5970 7197 8955 9950 11995 14394 14925 17910 21591 23990 29850 35985 43182 44775 59975 71970 89550 107955 119950 179925 215910 359850 477401 539775 954802 1079550 1432203 2387005 2864406 4296609 4774010 7161015 8593218 11935025 14322030 21483045 23870050 35805075 42966090 71610150 107415225 214830450