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2232520420 = 225132660509
BaseRepresentation
bin1000010100010001…
…1000111011100100
312202120212210021111
42011010120323210
514033011123140
61005310354404
7106216052614
oct20504307344
95676783244
102232520420
11a462216a9
125237bba04
132976a9900
14172704a44
15d0ee27ea
hex85118ee4

2232520420 has 36 divisors (see below), whose sum is σ = 5076679860. Its totient is φ = 824313984.

The previous prime is 2232520417. The next prime is 2232520429. The reversal of 2232520420 is 240252322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 280294564 + 1952225856 = 16742^2 + 44184^2 .

It is a super-3 number, since 3×22325204203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232520391 and 2232520400.

It is not an unprimeable number, because it can be changed into a prime (2232520429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326875 + ... + 333634.

It is an arithmetic number, because the mean of its divisors is an integer number (141018885).

Almost surely, 22232520420 is an apocalyptic number.

2232520420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232520420 is an abundant number, since it is smaller than the sum of its proper divisors (2844159440).

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

2232520420 is a wasteful number, since it uses less digits than its factorization.

2232520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660544 (or 660529 counting only the distinct ones).

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

The square root of 2232520420 is about 47249.5547068964. The cubic root of 2232520420 is about 1306.9685785715.

Adding to 2232520420 its reverse (240252322), we get a palindrome (2472772742).

The spelling of 2232520420 in words is "two billion, two hundred thirty-two million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 660509 1321018 2642036 3302545 6605090 8586617 13210180 17173234 34346468 42933085 85866170 111626021 171732340 223252042 446504084 558130105 1116260210 2232520420