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214329150 = 23252768041
BaseRepresentation
bin11001100011001…
…10011100111110
3112221022001022200
430301212130332
5414332013100
633133452330
75211524220
oct1461463476
9487261280
10214329150
11aaa8a732
125b9410a6
13355334a9
1420672410
1513c39e00
hexcc6673e

214329150 has 72 divisors (see below), whose sum is σ = 658102224. Its totient is φ = 48988800.

The previous prime is 214329121. The next prime is 214329161. The reversal of 214329150 is 51923412.

214329150 = T406 + T407 + ... + T1105.

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 35 ways as a sum of consecutive naturals, for example, 30871 + ... + 37170.

Almost surely, 2214329150 is an apocalyptic number.

214329150 is an abundant number, since it is smaller than the sum of its proper divisors (443773074).

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

214329150 is a wasteful number, since it uses less digits than its factorization.

214329150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68066 (or 68058 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 214329150 is about 14639.9846311395. The cubic root of 214329150 is about 598.4489103233.

The spelling of 214329150 in words is "two hundred fourteen million, three hundred twenty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 68041 136082 204123 340205 408246 476287 612369 680410 952574 1020615 1224738 1428861 1701025 2041230 2381435 2857722 3061845 3402050 4286583 4762870 5103075 6123690 7144305 8573166 10206150 11907175 14288610 15309225 21432915 23814350 30618450 35721525 42865830 71443050 107164575 214329150