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206234140 = 225721712379
BaseRepresentation
bin11000100101011…
…10001000011100
3112101001210001111
430102232020130
5410243443030
632244151404
75052650500
oct1422561034
9471053044
10206234140
11a6460842
1259098564
133395aa48
141d566300
151318b62a
hexc4ae21c

206234140 has 72 divisors (see below), whose sum is σ = 533478960. Its totient is φ = 66544128.

The previous prime is 206234129. The next prime is 206234179. The reversal of 206234140 is 41432602.

It is a happy 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, 10471 + ... + 22849.

It is an arithmetic number, because the mean of its divisors is an integer number (7409430).

Almost surely, 2206234140 is an apocalyptic number.

206234140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266739480).

206234140 is an abundant number, since it is smaller than the sum of its proper divisors (327244820).

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

206234140 is a wasteful number, since it uses less digits than its factorization.

206234140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 206234140 is about 14360.8544314048. The cubic root of 206234140 is about 590.8177304263.

Adding to 206234140 its reverse (41432602), we get a palindrome (247666742).

The spelling of 206234140 in words is "two hundred six million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 12379 16660 24758 49516 61895 86653 123790 173306 210443 247580 346612 420886 433265 606571 841772 866530 1052215 1213142 1473101 1733060 2104430 2426284 2946202 3032855 4208860 5892404 6065710 7365505 10311707 12131420 14731010 20623414 29462020 41246828 51558535 103117070 206234140