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2240252032 = 2773239753
BaseRepresentation
bin1000010110000111…
…1000100010000000
312210010102121001111
42011201320202000
514042001031112
61010144213104
7106341554014
oct20541704200
95703377044
102240252032
11a4a622567
1252630a194
13299185b25
14173758544
15d1a1d5a7
hex85878880

2240252032 has 32 divisors (see below), whose sum is σ = 4524157980. Its totient is φ = 1104777216.

The previous prime is 2240252011. The next prime is 2240252033. The reversal of 2240252032 is 2302520422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2052452416 + 187799616 = 45304^2 + 13704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2240251994 and 2240252012.

It is not an unprimeable number, because it can be changed into a prime (2240252033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110533 + ... + 129220.

Almost surely, 22240252032 is an apocalyptic number.

It is an amenable number.

2240252032 is an abundant number, since it is smaller than the sum of its proper divisors (2283905948).

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

2240252032 is an equidigital number, since it uses as much as digits as its factorization.

2240252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239840 (or 239828 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2240252032 is about 47331.3007638708. The cubic root of 2240252032 is about 1308.4755944604.

Adding to 2240252032 its reverse (2302520422), we get a palindrome (4542772454).

The spelling of 2240252032 in words is "two billion, two hundred forty million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 239753 479506 959012 1918024 3836048 7672096 15344192 17501969 30688384 35003938 70007876 140015752 280031504 560063008 1120126016 2240252032