228095395200 has 1152 divisors, whose sum is σ = 902095833600. Its totient is φ = 56260915200.

The previous prime is 228095395189. The next prime is 228095395211. The reversal of 228095395200 is 2593590822.

228095395200 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 95 + 39 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228095395189) and next prime (228095395211).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×228095395200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2214518349 + ... + 2214518451.

It is an arithmetic number, because the mean of its divisors is an integer number (783069300).

Almost surely, 2^228095395200 is an apocalyptic number.

228095395200 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 228095395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451047916800).

228095395200 is an abundant number, since it is smaller than the sum of its proper divisors (674000438400).

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

228095395200 is a wasteful number, since it uses less digits than its factorization.

228095395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 228095395200 in words is "two hundred twenty-eight billion, ninety-five million, three hundred ninety-five thousand, two hundred".