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228422380032 = 293271119311093
BaseRepresentation
bin1101010010111100001…
…0001110101000000000
3210211121011000012010100
43110233002032220000
512220302112130112
6252534044202400
722334343123510
oct3245702165000
9724534005110
10228422380032
1188967529a80
123832a239400
13187038b6022
14b0acbbd840
155e1d8202dc
hex352f08ea00

228422380032 has 960 divisors, whose sum is σ = 893897072640. Its totient is φ = 54344908800.

The previous prime is 228422380003. The next prime is 228422380057. The reversal of 228422380032 is 230083224822.

228422380032 is a `hidden beast` number, since 228 + 4 + 22 + 380 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208986078 + ... + 208987170.

It is an arithmetic number, because the mean of its divisors is an integer number (931142784).

Almost surely, 2228422380032 is an apocalyptic number.

228422380032 is a gapful number since it is divisible by the number (22) 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 228422380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446948536320).

228422380032 is an abundant number, since it is smaller than the sum of its proper divisors (665474692608).

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

228422380032 is a wasteful number, since it uses less digits than its factorization.

228422380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 228422380032 in words is "two hundred twenty-eight billion, four hundred twenty-two million, three hundred eighty thousand, thirty-two".