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2231320032 = 253272710657
BaseRepresentation
bin1000010011111111…
…0011110111100000
312202111121210122200
42010333303313200
514032204220112
61005224533200
7106202623134
oct20477636740
95674553580
102231320032
11a45581847
12523321200
13297379416
141724b13c4
15d0d56cdc
hex84ff3de0

2231320032 has 72 divisors (see below), whose sum is σ = 6354640656. Its totient is φ = 742680576.

The previous prime is 2231320019. The next prime is 2231320033. The reversal of 2231320032 is 2300231322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22313200323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231319987 and 2231320014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231320033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204048 + ... + 214704.

It is an arithmetic number, because the mean of its divisors is an integer number (88258898).

Almost surely, 22231320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177320328).

2231320032 is an abundant number, since it is smaller than the sum of its proper divisors (4123320624).

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

2231320032 is a wasteful number, since it uses less digits than its factorization.

2231320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400 (or 11389 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231320032 is about 47236.8503607089. The cubic root of 2231320032 is about 1306.7342917012.

Adding to 2231320032 its reverse (2300231322), we get a palindrome (4531551354).

The spelling of 2231320032 in words is "two billion, two hundred thirty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 727 1454 2181 2908 4362 5816 6543 8724 10657 11632 13086 17448 21314 23264 26172 31971 34896 42628 52344 63942 69792 85256 95913 104688 127884 170512 191826 209376 255768 341024 383652 511536 767304 1023072 1534608 3069216 7747639 15495278 23242917 30990556 46485834 61981112 69728751 92971668 123962224 139457502 185943336 247924448 278915004 371886672 557830008 743773344 1115660016 2231320032