Search a number
-
+
3045226140 = 223251119611327
BaseRepresentation
bin1011010110000010…
…0111011010011100
321212020010111221100
42311200213122130
522214034214030
61222101433100
7135314665215
oct26540473234
97766114840
103045226140
111322a50520
1270ba0b790
13396b8aa78
1420c61a40c
1512c529360
hexb582769c

3045226140 has 288 divisors, whose sum is σ = 10789309440. Its totient is φ = 687398400.

The previous prime is 3045226123. The next prime is 3045226181. The reversal of 3045226140 is 416225403.

3045226140 is a `hidden beast` number, since 3 + 0 + 45 + 2 + 2 + 614 + 0 = 666.

3045226140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2294157 + ... + 2295483.

It is an arithmetic number, because the mean of its divisors is an integer number (37462880).

Almost surely, 23045226140 is an apocalyptic number.

3045226140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045226140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394654720).

3045226140 is an abundant number, since it is smaller than the sum of its proper divisors (7744083300).

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

3045226140 is a wasteful number, since it uses less digits than its factorization.

3045226140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3045226140 is about 55183.5676628469. The cubic root of 3045226140 is about 1449.4609395334.

The spelling of 3045226140 in words is "three billion, forty-five million, two hundred twenty-six thousand, one hundred forty".