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2233434420 = 22325719293217
BaseRepresentation
bin1000010100011111…
…1000000100110100
312202122121020001100
42011013320010310
514033224400140
61005342130100
7106226610420
oct20507700464
95678536040
102233434420
11a46796378
12523b80930
13297939939
141728a1b80
15d1123530
hex851f8134

2233434420 has 288 divisors, whose sum is σ = 8433734400. Its totient is φ = 466808832.

The previous prime is 2233434403. The next prime is 2233434431. The reversal of 2233434420 is 244343322.

2233434420 is a `hidden beast` number, since 2 + 233 + 4 + 3 + 4 + 420 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 692652 + ... + 695868.

It is an arithmetic number, because the mean of its divisors is an integer number (29283800).

Almost surely, 22233434420 is an apocalyptic number.

2233434420 is a gapful number since it is divisible by the number (20) 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 2233434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216867200).

2233434420 is an abundant number, since it is smaller than the sum of its proper divisors (6200299980).

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

2233434420 is a wasteful number, since it uses less digits than its factorization.

2233434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2233434420 is about 47259.2257659814. The cubic root of 2233434420 is about 1307.1469130804.

Adding to 2233434420 its reverse (244343322), we get a palindrome (2477777742).

The spelling of 2233434420 in words is "two billion, two hundred thirty-three million, four hundred thirty-four thousand, four hundred twenty".