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2256603300 = 223452739799
BaseRepresentation
bin1000011010000001…
…0000100010100100
312211021012022210000
42012200100202210
514110142301200
61011530501300
7106630545240
oct20640204244
95737168700
102256603300
11a58880506
1252b894830
1329c68c533
141759b3420
15d319d300
hex868108a4

2256603300 has 180 divisors, whose sum is σ = 8360228800. Its totient is φ = 515782080.

The previous prime is 2256603299. The next prime is 2256603311. The reversal of 2256603300 is 33066522.

2256603300 is a `hidden beast` number, since 2 + 2 + 56 + 603 + 3 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36801 + ... + 76599.

Almost surely, 22256603300 is an apocalyptic number.

2256603300 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 2256603300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180114400).

2256603300 is an abundant number, since it is smaller than the sum of its proper divisors (6103625500).

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

2256603300 is a wasteful number, since it uses less digits than its factorization.

2256603300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39832 (or 39816 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2256603300 is about 47503.7188017949. The cubic root of 2256603300 is about 1311.6513370869.

Adding to 2256603300 its reverse (33066522), we get a palindrome (2289669822).

The spelling of 2256603300 in words is "two billion, two hundred fifty-six million, six hundred three thousand, three hundred".