Search a number
-
+
2168141922 = 2323122717117
BaseRepresentation
bin1000000100111011…
…0011100001100010
312121002202000120200
42001032303201202
513420021020142
6555050450030
7104504621322
oct20116634142
95532660520
102168141922
11a12950131
12506133916
13287258a1b
14167d47282
15ca52764c
hex813b3862

2168141922 has 48 divisors (see below), whose sum is σ = 4870824192. Its totient is φ = 696278880.

The previous prime is 2168141917. The next prime is 2168141933. The reversal of 2168141922 is 2291418612.

2168141922 is a `hidden beast` number, since 216 + 8 + 1 + 419 + 22 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118108 + ... + 135224.

It is an arithmetic number, because the mean of its divisors is an integer number (101475504).

Almost surely, 22168141922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168141922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435412096).

2168141922 is an abundant number, since it is smaller than the sum of its proper divisors (2702682270).

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

2168141922 is a wasteful number, since it uses less digits than its factorization.

2168141922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17380 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2168141922 is about 46563.3109003215. The cubic root of 2168141922 is about 1294.2829663532.

The spelling of 2168141922 in words is "two billion, one hundred sixty-eight million, one hundred forty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 227 279 454 558 681 1362 2043 4086 7037 14074 17117 21111 34234 42222 51351 63333 102702 126666 154053 308106 530627 1061254 1591881 3183762 3885559 4775643 7771118 9551286 11656677 23313354 34970031 69940062 120452329 240904658 361356987 722713974 1084070961 2168141922