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214828350 = 235211130199
BaseRepresentation
bin11001100111000…
…00010100111110
3112222020102002120
430303200110332
5414444001400
633152303410
75216003502
oct1463402476
9488212076
10214828350
111002a07a0
125bb41b66
1335679789
1420762302
1513cd7ca0
hexcce053e

214828350 has 48 divisors (see below), whose sum is σ = 581212800. Its totient is φ = 52079200.

The previous prime is 214828333. The next prime is 214828363. The reversal of 214828350 is 53828412.

214828350 is digitally balanced in base 2, 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 (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63450 + ... + 66749.

It is an arithmetic number, because the mean of its divisors is an integer number (12108600).

Almost surely, 2214828350 is an apocalyptic number.

214828350 is an abundant number, since it is smaller than the sum of its proper divisors (366384450).

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

214828350 is a wasteful number, since it uses less digits than its factorization.

214828350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130225 (or 130220 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 214828350 is about 14657.0239134689. The cubic root of 214828350 is about 598.9131714169.

The spelling of 214828350 in words is "two hundred fourteen million, eight hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 130199 260398 390597 650995 781194 1301990 1432189 1952985 2864378 3254975 3905970 4296567 6509950 7160945 8593134 9764925 14321890 19529850 21482835 35804725 42965670 71609450 107414175 214828350