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2269800000 = 2632551397
BaseRepresentation
bin1000011101001010…
…0110011001000000
312212012000210020200
42013102212121000
514122032100000
61013121405200
7110150660466
oct20722463100
95765023220
102269800000
11a65274376
12534199800
132a2330130
1417764a836
15d4408500
hex874a6640

2269800000 has 504 divisors, whose sum is σ = 8847761832. Its totient is φ = 552960000.

The previous prime is 2269799989. The next prime is 2269800017. The reversal of 2269800000 is 89622.

It can be written as a sum of positive squares in 12 ways, for example, as 2194735104 + 75064896 = 46848^2 + 8664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23399952 + ... + 23400048.

It is an arithmetic number, because the mean of its divisors is an integer number (17555083).

Almost surely, 22269800000 is an apocalyptic number.

2269800000 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 2269800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423880916).

2269800000 is an abundant number, since it is smaller than the sum of its proper divisors (6577961832).

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

2269800000 is an equidigital number, since it uses as much as digits as its factorization.

2269800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2269800000 is about 47642.4180746528. The cubic root of 2269800000 is about 1314.2032309384.

Adding to 2269800000 its reverse (89622), we get a palindrome (2269889622).

The spelling of 2269800000 in words is "two billion, two hundred sixty-nine million, eight hundred thousand".