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2331320032 = 25315774073
BaseRepresentation
bin1000101011110101…
…0001111011100000
320000110210022212101
42022331101323200
514233304220112
61023200140144
7111525615256
oct21275217340
96013708771
102331320032
11a96a73278
12550907654
132b1cbcc12
141818a25d6
15d9a0b757
hex8af51ee0

2331320032 has 48 divisors (see below), whose sum is σ = 4747220352. Its totient is φ = 1125826560.

The previous prime is 2331320029. The next prime is 2331320059. The reversal of 2331320032 is 2300231332.

It is a happy number.

2331320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2331319991 and 2331320009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570348 + ... + 574420.

It is an arithmetic number, because the mean of its divisors is an integer number (98900424).

Almost surely, 22331320032 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 2331320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373610176).

2331320032 is an abundant number, since it is smaller than the sum of its proper divisors (2415900320).

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

2331320032 is a wasteful number, since it uses less digits than its factorization.

2331320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2331320032 is about 48283.7450080252. The cubic root of 2331320032 is about 1325.9708147093.

Adding to 2331320032 its reverse (2300231332), we get a palindrome (4631551364).

The spelling of 2331320032 in words is "two billion, three hundred thirty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 577 992 1154 2308 4073 4616 8146 9232 16292 17887 18464 32584 35774 65168 71548 126263 130336 143096 252526 286192 505052 572384 1010104 2020208 2350121 4040416 4700242 9400484 18800968 37601936 72853751 75203872 145707502 291415004 582830008 1165660016 2331320032