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228439708200 = 2332521141439641
BaseRepresentation
bin1101010011000000010…
…0010101001000101000
3210211122100121112220100
43110300010111020220
512220321031130300
6252535503425400
722334643324114
oct3246004251050
9724570545810
10228439708200
1188976294980
1238333bb5260
1318707372292
14b0b1210744
155e200e4700
hex3530115228

228439708200 has 576 divisors, whose sum is σ = 860626166400. Its totient is φ = 53821440000.

The previous prime is 228439708187. The next prime is 228439708223. The reversal of 228439708200 is 2807934822.

228439708200 is a `hidden beast` number, since 2 + 2 + 8 + 439 + 7 + 0 + 8 + 200 = 666.

It is a super-2 number, since 2×2284397082002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 356379880 + ... + 356380520.

It is an arithmetic number, because the mean of its divisors is an integer number (1494142650).

Almost surely, 2228439708200 is an apocalyptic number.

228439708200 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 228439708200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430313083200).

228439708200 is an abundant number, since it is smaller than the sum of its proper divisors (632186458200).

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

228439708200 is a wasteful number, since it uses less digits than its factorization.

228439708200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 228439 and 708200, that added together give a palindrome (936639).

The spelling of 228439708200 in words is "two hundred twenty-eight billion, four hundred thirty-nine million, seven hundred eight thousand, two hundred".