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23201203200 = 2103527103419
BaseRepresentation
bin10101100110111001…
…100100010000000000
32012212221011020111020
4111212321210100000
5340004002000300
614354122145440
71450642654560
oct254671442000
965787136436
1023201203200
1199265243aa
1245b6052280
132259978006
1411a1504da0
1590bd058a0
hex566e64400

23201203200 has 528 divisors, whose sum is σ = 88697656320. Its totient is φ = 5239111680.

The previous prime is 23201203171. The next prime is 23201203211. The reversal of 23201203200 is 230210232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23201203200.

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 47 ways as a sum of consecutive naturals, for example, 55372591 + ... + 55373009.

Almost surely, 223201203200 is an apocalyptic number.

23201203200 is a gapful number since it is divisible by the number (20) 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 23201203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348828160).

23201203200 is an abundant number, since it is smaller than the sum of its proper divisors (65496453120).

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

23201203200 is a wasteful number, since it uses less digits than its factorization.

23201203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23201203200 its reverse (230210232), we get a palindrome (23431413432).

The spelling of 23201203200 in words is "twenty-three billion, two hundred one million, two hundred three thousand, two hundred".