228169267200 has 2304 divisors, whose sum is σ = 1082180736000. Its totient is φ = 45864714240.

The previous prime is 228169267177. The next prime is 228169267211. The reversal of 228169267200 is 2762961822.

228169267200 is a `hidden beast` number, since 2 + 28 + 169 + 267 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×228169267200² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 3125606364 + ... + 3125606436.

It is an arithmetic number, because the mean of its divisors is an integer number (469696500).

Almost surely, 2^228169267200 is an apocalyptic number.

228169267200 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 228169267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541090368000).

228169267200 is an abundant number, since it is smaller than the sum of its proper divisors (854011468800).

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

228169267200 is a wasteful number, since it uses less digits than its factorization.

228169267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 228169267200 in words is "two hundred twenty-eight billion, one hundred sixty-nine million, two hundred sixty-seven thousand, two hundred".