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205246140 = 2235111013079
BaseRepresentation
bin11000011101111…
…00111010111100
3112022012120202220
430032330322330
5410020334030
632211045340
75041364151
oct1416747274
9468176686
10205246140
11a5946510
12588a0850
13336a3128
141d38a228
1513043a10
hexc3bcebc

205246140 has 96 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 49248000.

The previous prime is 205246121. The next prime is 205246147. The reversal of 205246140 is 41642502.

It is a self number, because there is not a number n which added to its sum of digits gives 205246140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205246147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65121 + ... + 68199.

It is an arithmetic number, because the mean of its divisors is an integer number (6597360).

Almost surely, 2205246140 is an apocalyptic number.

205246140 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 205246140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

205246140 is an abundant number, since it is smaller than the sum of its proper divisors (428100420).

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

205246140 is a wasteful number, since it uses less digits than its factorization.

205246140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 205246140 is about 14326.4140663322. The cubic root of 205246140 is about 589.8727485786.

Adding to 205246140 its reverse (41642502), we get a palindrome (246888642).

The spelling of 205246140 in words is "two hundred five million, two hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3079 3333 4444 5555 6060 6158 6666 9237 11110 12316 13332 15395 16665 18474 22220 30790 33330 33869 36948 46185 61580 66660 67738 92370 101607 135476 169345 184740 203214 310979 338690 406428 508035 621958 677380 932937 1016070 1243916 1554895 1865874 2032140 3109790 3420769 3731748 4664685 6219580 6841538 9329370 10262307 13683076 17103845 18658740 20524614 34207690 41049228 51311535 68415380 102623070 205246140