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214217190 = 23351127983
BaseRepresentation
bin11001100010010…
…11000111100110
3112221002100202000
430301023013212
5414314422230
633131230130
75210546625
oct1461130746
9487070660
10214217190
11aaa13600
125b8a8346
13354c4545
14206436bc
1513c16b60
hexcc4b1e6

214217190 has 192 divisors, whose sum is σ = 643507200. Its totient is φ = 50656320.

The previous prime is 214217189. The next prime is 214217219. The reversal of 214217190 is 91712412.

214217190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142171902 = 91778008982992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2580889 + ... + 2580971.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2214217190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214217190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

214217190 is an abundant number, since it is smaller than the sum of its proper divisors (429290010).

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

214217190 is a wasteful number, since it uses less digits than its factorization.

214217190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 214217190 is about 14636.1603571429. The cubic root of 214217190 is about 598.3446874335.

The spelling of 214217190 in words is "two hundred fourteen million, two hundred seventeen thousand, one hundred ninety".