Search a number
-
+
85142205 = 33517231613
BaseRepresentation
bin1010001001100…
…10101010111101
312221012200011000
411010302222331
5133244022310
612240520513
72052461001
oct504625275
9187180130
1085142205
1144073665
1224620139
1314840b05
14b444701
15771c4c0
hex5132abd

85142205 has 64 divisors (see below), whose sum is σ = 167339520. Its totient is φ = 40854528.

The previous prime is 85142203. The next prime is 85142227. The reversal of 85142205 is 50224158.

It is a happy number.

It is not a de Polignac number, because 85142205 - 21 = 85142203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85142201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51979 + ... + 53591.

It is an arithmetic number, because the mean of its divisors is an integer number (2614680).

Almost surely, 285142205 is an apocalyptic number.

85142205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85142205 is a deficient number, since it is larger than the sum of its proper divisors (82197315).

85142205 is a wasteful number, since it uses less digits than its factorization.

85142205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85142205 is about 9227.2533833205. The cubic root of 85142205 is about 439.9280271395.

The spelling of 85142205 in words is "eighty-five million, one hundred forty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 17 23 27 45 51 69 85 115 135 153 207 255 345 391 459 621 765 1035 1173 1613 1955 2295 3105 3519 4839 5865 8065 10557 14517 17595 24195 27421 37099 43551 52785 72585 82263 111297 137105 185495 217755 246789 333891 411315 556485 630683 740367 1001673 1233945 1669455 1892049 3153415 3701835 5008365 5676147 9460245 17028441 28380735 85142205