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165165444 = 223210344543
BaseRepresentation
bin10011101100000…
…11100110000100
3102111210021101200
421312003212010
5314240243234
624220022500
74043611623
oct1166034604
9374707350
10165165444
1185260274
1247391a30
13282ab942
1417d156ba
15e777d99
hex9d83984

165165444 has 36 divisors (see below), whose sum is σ = 421564416. Its totient is φ = 54519408.

The previous prime is 165165397. The next prime is 165165449. The reversal of 165165444 is 444561561.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165165399 and 165165408.

It is not an unprimeable number, because it can be changed into a prime (165165449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18564 + ... + 25979.

Almost surely, 2165165444 is an apocalyptic number.

It is an amenable number.

165165444 is an abundant number, since it is smaller than the sum of its proper divisors (256398972).

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

165165444 is a wasteful number, since it uses less digits than its factorization.

165165444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44656 (or 44651 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 165165444 is about 12851.6708641328. The cubic root of 165165444 is about 548.6639128623.

The spelling of 165165444 in words is "one hundred sixty-five million, one hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 44543 89086 133629 178172 267258 400887 534516 801774 1603548 4587929 9175858 13763787 18351716 27527574 41291361 55055148 82582722 165165444