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2153224530 = 232523924717
BaseRepresentation
bin1000000001010111…
…1001100101010010
312120001200010202200
42000111321211102
513402211141110
6553355024030
7104234051352
oct20025714522
95501603680
102153224530
11a05491506
1250113b016
13284134b72
14165d82b62
15c907c6c0
hex80579952

2153224530 has 24 divisors (see below), whose sum is σ = 5598384012. Its totient is φ = 574193184.

The previous prime is 2153224523. The next prime is 2153224537. The reversal of 2153224530 is 354223512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2153224523) and next prime (2153224537).

It can be written as a sum of positive squares in 2 ways, for example, as 1827819009 + 325405521 = 42753^2 + 18039^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2153224494 and 2153224503.

It is not an unprimeable number, because it can be changed into a prime (2153224537) 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, 11962269 + ... + 11962448.

Almost surely, 22153224530 is an apocalyptic number.

2153224530 is an abundant number, since it is smaller than the sum of its proper divisors (3445159482).

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

2153224530 is a wasteful number, since it uses less digits than its factorization.

2153224530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23924730 (or 23924727 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2153224530 is about 46402.8504512384. The cubic root of 2153224530 is about 1291.3077957629.

The spelling of 2153224530 in words is "two billion, one hundred fifty-three million, two hundred twenty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23924717 47849434 71774151 119623585 143548302 215322453 239247170 358870755 430644906 717741510 1076612265 2153224530