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2231320000 = 2654713613
BaseRepresentation
bin1000010011111111…
…0011110111000000
312202111121210121111
42010333303313000
514032204220000
61005224533104
7106202623060
oct20477636700
95674553544
102231320000
11a45581818
12523321194
132973793c0
141724b13a0
15d0d56cba
hex84ff3dc0

2231320000 has 280 divisors, whose sum is σ = 6820891616. Its totient is φ = 705024000.

The previous prime is 2231319941. The next prime is 2231320019. The reversal of 2231320000 is 231322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×22313200003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 39 ways as a sum of consecutive naturals, for example, 3639694 + ... + 3640306.

Almost surely, 22231320000 is an apocalyptic number.

2231320000 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 2231320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410445808).

2231320000 is an abundant number, since it is smaller than the sum of its proper divisors (4589571616).

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

2231320000 is an equidigital number, since it uses as much as digits as its factorization.

2231320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2231320000 is about 47236.8500219902. The cubic root of 2231320000 is about 1306.7342854544.

Adding to 2231320000 its reverse (231322), we get a palindrome (2231551322).

The spelling of 2231320000 in words is "two billion, two hundred thirty-one million, three hundred twenty thousand".