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2331405040 = 245127229469
BaseRepresentation
bin1000101011110110…
…0110101011110000
320000110221122110211
42022331212223300
514233314430130
61023202033504
7111526421146
oct21275465360
96013848424
102331405040
11a97021128
12550948894
132b201c813
141818c5596
15d9a26a2a
hex8af66af0

2331405040 has 40 divisors (see below), whose sum is σ = 5463221760. Its totient is φ = 925214976.

The previous prime is 2331405031. The next prime is 2331405047. The reversal of 2331405040 is 405041332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331405047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104575 + ... + 124894.

It is an arithmetic number, because the mean of its divisors is an integer number (136580544).

Almost surely, 22331405040 is an apocalyptic number.

2331405040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331405040 is an abundant number, since it is smaller than the sum of its proper divisors (3131816720).

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

2331405040 is a wasteful number, since it uses less digits than its factorization.

2331405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229609 (or 229603 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2331405040 is about 48284.6252962576. The cubic root of 2331405040 is about 1325.9869310090.

Adding to 2331405040 its reverse (405041332), we get a palindrome (2736446372).

The spelling of 2331405040 in words is "two billion, three hundred thirty-one million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 229469 458938 917876 1147345 1835752 2294690 3671504 4589380 9178760 18357520 29142563 58285126 116570252 145712815 233140504 291425630 466281008 582851260 1165702520 2331405040