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206252431 = 71123116461
BaseRepresentation
bin11000100101100…
…10100110001111
3112101002201010221
430102302212033
5410300034211
632244412211
75053055020
oct1422624617
9471081127
10206252431
11a6473560
12590a7067
1333966178
141d56cc47
1513191c71
hexc4b298f

206252431 has 16 divisors (see below), whose sum is σ = 268328448. Its totient is φ = 153727200.

The previous prime is 206252419. The next prime is 206252443. The reversal of 206252431 is 134252602.

206252431 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 (206252419) and next prime (206252443).

It is not a de Polignac number, because 206252431 - 27 = 206252303 is a prime.

It is a super-2 number, since 2×2062524312 = 85080130586819522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206252396 and 206252405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206252461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56460 + ... + 60001.

It is an arithmetic number, because the mean of its divisors is an integer number (16770528).

Almost surely, 2206252431 is an apocalyptic number.

206252431 is a deficient number, since it is larger than the sum of its proper divisors (62076017).

206252431 is a wasteful number, since it uses less digits than its factorization.

206252431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116502.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 206252431 is about 14361.4912526520. The cubic root of 206252431 is about 590.8351965413.

The spelling of 206252431 in words is "two hundred six million, two hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 23 77 161 253 1771 116461 815227 1281071 2678603 8967497 18750221 29464633 206252431