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2223000002964 = 223131929163158663
BaseRepresentation
bin100000010110010101001…
…000000010000110010100
321212111221200200202010010
4200112111020002012110
5242410201000043324
64421122045000220
7316415004153216
oct40262510020624
97774850622103
102223000002964
117878506036a4
122ba9ba253070
13131821943b50
14798454605b6
153cc5a762829
hex20595202194

2223000002964 has 192 divisors, whose sum is σ = 6120114739200. Its totient is φ = 621812878848.

The previous prime is 2223000002911. The next prime is 2223000003131. The reversal of 2223000002964 is 4692000003222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13931497 + ... + 14090159.

It is an arithmetic number, because the mean of its divisors is an integer number (31875597600).

Almost surely, 22223000002964 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 2223000002964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060057369600).

2223000002964 is an abundant number, since it is smaller than the sum of its proper divisors (3897114736236).

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

2223000002964 is a wasteful number, since it uses less digits than its factorization.

2223000002964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158894 (or 158892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 2223000002964 in words is "two trillion, two hundred twenty-three billion, two thousand, nine hundred sixty-four".