Search a number
-
+
2165640440 = 235232353957
BaseRepresentation
bin1000000100010101…
…0000110011111000
312120221000221012012
42001011100303320
513413400443230
6554521105052
7104444432345
oct20105206370
95527027165
102165640440
11a114a1797
12505328188
13286891262
141678957cc
15ca1d1395
hex81150cf8

2165640440 has 32 divisors (see below), whose sum is σ = 5084549280. Its totient is φ = 828592512.

The previous prime is 2165640431. The next prime is 2165640461. The reversal of 2165640440 is 440465612.

It is a junction number, because it is equal to n+sod(n) for n = 2165640397 and 2165640406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176059 + ... + 1177898.

It is an arithmetic number, because the mean of its divisors is an integer number (158892165).

Almost surely, 22165640440 is an apocalyptic number.

2165640440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165640440 is an abundant number, since it is smaller than the sum of its proper divisors (2918908840).

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

2165640440 is a wasteful number, since it uses less digits than its factorization.

2165640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353991 (or 2353987 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2165640440 is about 46536.4420642576. The cubic root of 2165640440 is about 1293.7850174812.

The spelling of 2165640440 in words is "two billion, one hundred sixty-five million, six hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2353957 4707914 9415828 11769785 18831656 23539570 47079140 54141011 94158280 108282022 216564044 270705055 433128088 541410110 1082820220 2165640440