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2230145440 = 25513938409
BaseRepresentation
bin1000010011101101…
…0101000110100000
312202102102010102021
42010323111012200
514031404123230
61005143431224
7106156631515
oct20473250640
95672363367
102230145440
11a4494a306
12522a55514
132970578b3
1417228730c
15d0bc3c7a
hex84ed51a0

2230145440 has 24 divisors (see below), whose sum is σ = 5268718980. Its totient is φ = 892058112.

The previous prime is 2230145413. The next prime is 2230145471. The reversal of 2230145440 is 445410322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2224442896 + 5702544 = 47164^2 + 2388^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6969045 + ... + 6969364.

Almost surely, 22230145440 is an apocalyptic number.

2230145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230145440 is an abundant number, since it is smaller than the sum of its proper divisors (3038573540).

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

2230145440 is a wasteful number, since it uses less digits than its factorization.

2230145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938424 (or 13938416 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2230145440 is about 47224.4157189901. The cubic root of 2230145440 is about 1306.5049582382.

Adding to 2230145440 its reverse (445410322), we get a palindrome (2675555762).

The spelling of 2230145440 in words is "two billion, two hundred thirty million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13938409 27876818 55753636 69692045 111507272 139384090 223014544 278768180 446029088 557536360 1115072720 2230145440