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2203694064 = 243211131031039
BaseRepresentation
bin1000001101011001…
…1011001111110000
312200120122020221200
42003112123033300
514003121202224
61002400451200
7105416043015
oct20326331760
95616566850
102203694064
11a30a22a70
12516019b00
13291725bb0
1416c95d70c
15cd6eb5c9
hex8359b3f0

2203694064 has 240 divisors, whose sum is σ = 7322864640. Its totient is φ = 609845760.

The previous prime is 2203694039. The next prime is 2203694069. The reversal of 2203694064 is 4604963022.

2203694064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203694069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120457 + ... + 2121495.

It is an arithmetic number, because the mean of its divisors is an integer number (30511936).

Almost surely, 22203694064 is an apocalyptic number.

2203694064 is a gapful number since it is divisible by the number (24) 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 2203694064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661432320).

2203694064 is an abundant number, since it is smaller than the sum of its proper divisors (5119170576).

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

2203694064 is a wasteful number, since it uses less digits than its factorization.

2203694064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2203694064 is about 46943.5199361957. The cubic root of 2203694064 is about 1301.3189894961.

The spelling of 2203694064 in words is "two billion, two hundred three million, six hundred ninety-four thousand, sixty-four".