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205012136 = 23729413079
BaseRepresentation
bin11000011100000…
…11110010101000
3112021202200210002
430032003302220
5404440342021
632202042132
75036401010
oct1416036250
9467680702
10205012136
11a57a671a
12587a9348
1333620774
141d328c40
1512ee950b
hexc383ca8

205012136 has 64 divisors (see below), whose sum is σ = 465696000. Its totient is φ = 82736640.

The previous prime is 205012121. The next prime is 205012141. The reversal of 205012136 is 631210502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65045 + ... + 68123.

It is an arithmetic number, because the mean of its divisors is an integer number (7276500).

Almost surely, 2205012136 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 205012136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

205012136 is an abundant number, since it is smaller than the sum of its proper divisors (260683864).

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

205012136 is a wasteful number, since it uses less digits than its factorization.

205012136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 205012136 is about 14318.2448645077. The cubic root of 205012136 is about 589.6484892680.

Adding to 205012136 its reverse (631210502), we get a palindrome (836222638).

The spelling of 205012136 in words is "two hundred five million, twelve thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 41 56 58 82 116 164 203 232 287 328 406 574 812 1148 1189 1624 2296 2378 3079 4756 6158 8323 9512 12316 16646 21553 24632 33292 43106 66584 86212 89291 126239 172424 178582 252478 357164 504956 625037 714328 883673 1009912 1250074 1767346 2500148 3534692 3660931 5000296 7069384 7321862 14643724 25626517 29287448 51253034 102506068 205012136