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5223064000 = 265371161139
BaseRepresentation
bin1001101110101000…
…11010000111000000
3111111000010010211211
410313110122013000
541144101022000
62222140215504
7243301211560
oct46724320700
914430103754
105223064000
112240313320
12101923a594
1365312cb1b
14377968da0
152088197ba
hex13751a1c0

5223064000 has 448 divisors, whose sum is σ = 16508943360. Its totient is φ = 1589760000.

The previous prime is 5223063973. The next prime is 5223064019. The reversal of 5223064000 is 4603225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37575931 + ... + 37576069.

It is an arithmetic number, because the mean of its divisors is an integer number (36850320).

Almost surely, 25223064000 is an apocalyptic number.

5223064000 is a gapful number since it is divisible by the number (50) 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 5223064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

5223064000 is an abundant number, since it is smaller than the sum of its proper divisors (11285879360).

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

5223064000 is a wasteful number, since it uses less digits than its factorization.

5223064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5223064000 is about 72270.7686412702. The cubic root of 5223064000 is about 1735.0358354515.

Adding to 5223064000 its reverse (4603225), we get a palindrome (5227667225).

The spelling of 5223064000 in words is "five billion, two hundred twenty-three million, sixty-four thousand".