Search a number
-
+
2275102080 = 2735514629
BaseRepresentation
bin1000011110011011…
…0100110110000000
312212120000011100000
42013212310312000
514124411231310
61013431200000
7110244022446
oct20746646600
95776004300
102275102080
11a68265959
12535b16000
132a3468564
1417822ab96
15d4b044c0
hex879b4d80

2275102080 has 192 divisors, whose sum is σ = 8147739600. Its totient is φ = 606652416.

The previous prime is 2275102079. The next prime is 2275102091. The reversal of 2275102080 is 802015722.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148206 + ... + 162834.

Almost surely, 22275102080 is an apocalyptic number.

2275102080 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 2275102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073869800).

2275102080 is an abundant number, since it is smaller than the sum of its proper divisors (5872637520).

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

2275102080 is an equidigital number, since it uses as much as digits as its factorization.

2275102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2275102080 is about 47698.0301480051. The cubic root of 2275102080 is about 1315.2257280917.

The spelling of 2275102080 in words is "two billion, two hundred seventy-five million, one hundred two thousand, eighty".