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206252892 = 22345312011
BaseRepresentation
bin11000100101100…
…10101101011100
3112101002201210000
430102302231130
5410300043032
632244414300
75053056246
oct1422625534
9471081700
10206252892
11a647393a
12590a7390
1333966441
141d56d096
1513191e7c
hexc4b2b5c

206252892 has 60 divisors (see below), whose sum is σ = 549404856. Its totient is φ = 67448160.

The previous prime is 206252869. The next prime is 206252903. The reversal of 206252892 is 298252602.

206252892 is a `hidden beast` number, since 2 + 0 + 625 + 28 + 9 + 2 = 666.

206252892 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11167 + ... + 23177.

Almost surely, 2206252892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206252892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274702428).

206252892 is an abundant number, since it is smaller than the sum of its proper divisors (343151964).

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

206252892 is a wasteful number, since it uses less digits than its factorization.

206252892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12069 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 206252892 is about 14361.5073025083. The cubic root of 206252892 is about 590.8356367379.

The spelling of 206252892 in words is "two hundred six million, two hundred fifty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 12011 17172 24022 36033 48044 72066 108099 144132 216198 324297 432396 636583 648594 972891 1273166 1297188 1909749 1945782 2546332 3819498 3891564 5729247 7638996 11458494 17187741 22916988 34375482 51563223 68750964 103126446 206252892