Search a number
-
+
2188845120 = 263571129611
BaseRepresentation
bin1000001001110111…
…0010000001000000
312122112200212000210
42002131302001000
513440321020440
61001110314120
7105145606440
oct20235620100
95575625023
102188845120
11a23600810
12511058940
1328b627237
1416a9b6120
15cc266a80
hex82772040

2188845120 has 224 divisors, whose sum is σ = 8664708096. Its totient is φ = 454809600.

The previous prime is 2188845091. The next prime is 2188845121. The reversal of 2188845120 is 215488812.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2188845121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59115 + ... + 88725.

Almost surely, 22188845120 is an apocalyptic number.

2188845120 is a gapful number since it is divisible by the number (20) 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 2188845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332354048).

2188845120 is an abundant number, since it is smaller than the sum of its proper divisors (6475862976).

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

2188845120 is a wasteful number, since it uses less digits than its factorization.

2188845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29649 (or 29639 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 2188845120 is about 46785.0950624235. The cubic root of 2188845120 is about 1298.3895481878.

The spelling of 2188845120 in words is "two billion, one hundred eighty-eight million, eight hundred forty-five thousand, one hundred twenty".