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205136412 = 223136121557
BaseRepresentation
bin11000011101000…
…10001000011100
3112022000000020220
430032202020130
5410003331122
632204441340
75040426225
oct1416421034
9468000226
10205136412
11a5881028
1258849250
13336651c0
141d35c24c
151302125c
hexc3a221c

205136412 has 48 divisors (see below), whose sum is σ = 523945632. Its totient is φ = 62081280.

The previous prime is 205136411. The next prime is 205136413. The reversal of 205136412 is 214631502.

It is an interprime number because it is at equal distance from previous prime (205136411) and next prime (205136413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205136411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263 + ... + 20294.

It is an arithmetic number, because the mean of its divisors is an integer number (10915534).

Almost surely, 2205136412 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 205136412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261972816).

205136412 is an abundant number, since it is smaller than the sum of its proper divisors (318809220).

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

205136412 is a wasteful number, since it uses less digits than its factorization.

205136412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205136412 is about 14322.5839847424. The cubic root of 205136412 is about 589.7676112463.

Adding to 205136412 its reverse (214631502), we get a palindrome (419767914).

The spelling of 205136412 in words is "two hundred five million, one hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 9516 21557 43114 64671 86228 129342 258684 280241 560482 840723 1120964 1314977 1681446 2629954 3362892 3944931 5259908 7889862 15779724 17094701 34189402 51284103 68378804 102568206 205136412