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228322027200 = 26352193771953
BaseRepresentation
bin1101010010100100001…
…1011010011011000000
3210211100011011201220210
43110221003122123000
512220100414332300
6252520101234120
722332014131611
oct3245103323300
9724304151823
10228322027200
1188915917453
1238300702940
13186b8b7aa57
14b09d739c08
155e14aeb050
hex35290da6c0

228322027200 has 672 divisors, whose sum is σ = 822090954240. Its totient is φ = 55273881600.

The previous prime is 228322027183. The next prime is 228322027201. The reversal of 228322027200 is 2720223822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (228322027201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239581924 + ... + 239582876.

Almost surely, 2228322027200 is an apocalyptic number.

228322027200 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 228322027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411045477120).

228322027200 is an abundant number, since it is smaller than the sum of its proper divisors (593768927040).

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

228322027200 is a wasteful number, since it uses less digits than its factorization.

228322027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 228322027200 in words is "two hundred twenty-eight billion, three hundred twenty-two million, twenty-seven thousand, two hundred".