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2335130240 = 27531311657
BaseRepresentation
bin1000101100101111…
…0100001010000000
320000201221220111012
42023023310022000
514240243131430
61023413540052
7111603164612
oct21313641200
96021856435
102335130240
11a99135a03
12552044628
132b2a25291
141821b4db2
15da010695
hex8b2f4280

2335130240 has 64 divisors (see below), whose sum is σ = 5600736360. Its totient is φ = 930988032.

The previous prime is 2335130209. The next prime is 2335130243. The reversal of 2335130240 is 420315332.

It can be written as a sum of positive squares in 4 ways, for example, as 1376113216 + 959017024 = 37096^2 + 30968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2335130243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194492 + ... + 206148.

Almost surely, 22335130240 is an apocalyptic number.

2335130240 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 2335130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800368180).

2335130240 is an abundant number, since it is smaller than the sum of its proper divisors (3265606120).

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

2335130240 is a wasteful number, since it uses less digits than its factorization.

2335130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2335130240 is about 48323.1853254729. The cubic root of 2335130240 is about 1326.6927911940.

Adding to 2335130240 its reverse (420315332), we get a palindrome (2755445572).

The spelling of 2335130240 in words is "two billion, three hundred thirty-five million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 313 320 626 640 1252 1565 2504 3130 5008 6260 10016 11657 12520 20032 23314 25040 40064 46628 50080 58285 93256 100160 116570 186512 200320 233140 373024 466280 746048 932560 1492096 1865120 3648641 3730240 7297282 7460480 14594564 18243205 29189128 36486410 58378256 72972820 116756512 145945640 233513024 291891280 467026048 583782560 1167565120 2335130240