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165022434 = 2341759921
BaseRepresentation
bin10011101011000…
…00101011100010
3102111112000020000
421311200223202
5314221204214
624213000430
74042444653
oct1165405342
9374460200
10165022434
1185172885
1247323116
132825b815
1417cb952a
15e74a809
hex9d60ae2

165022434 has 40 divisors (see below), whose sum is σ = 391530348. Its totient is φ = 51770880.

The previous prime is 165022423. The next prime is 165022439. The reversal of 165022434 is 434220561.

165022434 is a `hidden beast` number, since 1 + 650 + 2 + 2 + 4 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153140625 + 11881809 = 12375^2 + 3447^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 165022398 and 165022407.

It is not an unprimeable number, because it can be changed into a prime (165022439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27207 + ... + 32714.

Almost surely, 2165022434 is an apocalyptic number.

165022434 is an abundant number, since it is smaller than the sum of its proper divisors (226507914).

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

165022434 is a wasteful number, since it uses less digits than its factorization.

165022434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59952 (or 59943 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 165022434 is about 12846.1057912505. The cubic root of 165022434 is about 548.5055119249.

Adding to 165022434 its reverse (434220561), we get a palindrome (599242995).

The spelling of 165022434 in words is "one hundred sixty-five million, twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 59921 119842 179763 359526 539289 1018657 1078578 1617867 2037314 3055971 3235734 4853601 6111942 9167913 9707202 18335826 27503739 55007478 82511217 165022434