Search a number
-
+
822105045 = 3452029889
BaseRepresentation
bin110001000000000…
…101001111010101
32010021221021010000
4301000011033111
53140424330140
6213324321513
726241530466
oct6100051725
92107837100
10822105045
11392069763
121ab3a3299
131014224b8
147b280d6d
154c291a30
hex310053d5

822105045 has 20 divisors (see below), whose sum is σ = 1473700140. Its totient is φ = 438455808.

The previous prime is 822105029. The next prime is 822105061. The reversal of 822105045 is 540501228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (822105029) and next prime (822105061).

It can be written as a sum of positive squares in 2 ways, for example, as 329531409 + 492573636 = 18153^2 + 22194^2 .

It is not a de Polignac number, because 822105045 - 24 = 822105029 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1014540 + ... + 1015349.

It is an arithmetic number, because the mean of its divisors is an integer number (73685007).

Almost surely, 2822105045 is an apocalyptic number.

It is an amenable number.

822105045 is a deficient number, since it is larger than the sum of its proper divisors (651595095).

822105045 is a wasteful number, since it uses less digits than its factorization.

822105045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029906 (or 2029897 counting only the distinct ones).

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

The square root of 822105045 is about 28672.3742476970. The cubic root of 822105045 is about 936.7904134549.

The spelling of 822105045 in words is "eight hundred twenty-two million, one hundred five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 2029889 6089667 10149445 18269001 30448335 54807003 91345005 164421009 274035015 822105045