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2231349120 = 273457111343
BaseRepresentation
bin1000010011111111…
…1010111110000000
312202111200021120000
42010333322332000
514032211132440
61005225320000
7106203104010
oct20477727600
95674607500
102231349120
11a455a1690
12523336000
13297389730
141724bbc40
15d0d60730
hex84ffaf80

2231349120 has 1280 divisors, whose sum is σ = 10947847680. Its totient is φ = 418037760.

The previous prime is 2231349119. The next prime is 2231349139. The reversal of 2231349120 is 219431322.

It is a happy number.

It is a super-3 number, since 3×22313491203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51891819 + ... + 51891861.

It is an arithmetic number, because the mean of its divisors is an integer number (8553006).

Almost surely, 22231349120 is an apocalyptic number.

2231349120 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 2231349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473923840).

2231349120 is an abundant number, since it is smaller than the sum of its proper divisors (8716498560).

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

2231349120 is a wasteful number, since it uses less digits than its factorization.

2231349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2231349120 is about 47237.1582549162. The cubic root of 2231349120 is about 1306.7399699725.

The spelling of 2231349120 in words is "two billion, two hundred thirty-one million, three hundred forty-nine thousand, one hundred twenty".