Search a number
-
+
23166142120 = 2351124786393
BaseRepresentation
bin10101100100110011…
…110100011010101000
32012210111011221201201
4111210303310122220
5334421013021440
614350430453544
71450035646642
oct254463643250
965714157651
1023166142120
119908757500
1245a63642b4
132252620504
14119a9b9892
15908bcc19a
hex564cf46a8

23166142120 has 48 divisors (see below), whose sum is σ = 57293136180. Its totient is φ = 8424049920.

The previous prime is 23166142099. The next prime is 23166142121. The reversal of 23166142120 is 2124166132.

It can be written as a sum of positive squares in 2 ways, for example, as 23063281956 + 102860164 = 151866^2 + 10142^2 .

It is not an unprimeable number, because it can be changed into a prime (23166142121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2388357 + ... + 2398036.

Almost surely, 223166142120 is an apocalyptic number.

23166142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23166142120 is an abundant number, since it is smaller than the sum of its proper divisors (34126994060).

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

23166142120 is a wasteful number, since it uses less digits than its factorization.

23166142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786426 (or 4786411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 23166142120 in words is "twenty-three billion, one hundred sixty-six million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 4786393 9572786 19145572 23931965 38291144 47863930 52650323 95727860 105300646 191455720 210601292 263251615 421202584 526503230 579153553 1053006460 1158307106 2106012920 2316614212 2895767765 4633228424 5791535530 11583071060 23166142120