Search a number
-
+
2332105140 = 2235109356591
BaseRepresentation
bin1000101100000001…
…0001100110110100
320000112021012211110
42023000101212310
514234004331030
61023225035020
7111535365231
oct21300214664
96015235743
102332105140
11a9745a122
12551025a70
132b2206391
14181a28788
15d9b141b0
hex8b0119b4

2332105140 has 48 divisors (see below), whose sum is σ = 6589820160. Its totient is φ = 616187520.

The previous prime is 2332105117. The next prime is 2332105147. The reversal of 2332105140 is 415012332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332105147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171756 + ... + 184835.

It is an arithmetic number, because the mean of its divisors is an integer number (137287920).

Almost surely, 22332105140 is an apocalyptic number.

2332105140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332105140 is an abundant number, since it is smaller than the sum of its proper divisors (4257715020).

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

2332105140 is a wasteful number, since it uses less digits than its factorization.

2332105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356712 (or 356710 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2332105140 is about 48291.8744717991. The cubic root of 2332105140 is about 1326.1196450488.

Adding to 2332105140 its reverse (415012332), we get a palindrome (2747117472).

The spelling of 2332105140 in words is "two billion, three hundred thirty-two million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 356591 713182 1069773 1426364 1782955 2139546 3565910 4279092 5348865 7131820 10697730 21395460 38868419 77736838 116605257 155473676 194342095 233210514 388684190 466421028 583026285 777368380 1166052570 2332105140