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2293060224 = 273713211311
BaseRepresentation
bin1000100010101101…
…0101001010000000
312220210210112021110
42020223111022000
514144010411344
61015312123320
7110552455530
oct21053251200
95823715243
102293060224
11a774110a4
1253bb36540
132a70b5490
1417a7834c0
15d64a03b9
hex88ad5280

2293060224 has 256 divisors, whose sum is σ = 7556290560. Its totient is φ = 599961600.

The previous prime is 2293060219. The next prime is 2293060271. The reversal of 2293060224 is 4220603922.

It is a junction number, because it is equal to n+sod(n) for n = 2293060191 and 2293060200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7373029 + ... + 7373339.

It is an arithmetic number, because the mean of its divisors is an integer number (29516760).

Almost surely, 22293060224 is an apocalyptic number.

2293060224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778145280).

2293060224 is an abundant number, since it is smaller than the sum of its proper divisors (5263230336).

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

2293060224 is a wasteful number, since it uses less digits than its factorization.

2293060224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2293060224 is about 47885.9084073801. The cubic root of 2293060224 is about 1318.6771688056.

The spelling of 2293060224 in words is "two billion, two hundred ninety-three million, sixty thousand, two hundred twenty-four".