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228939588000 = 25335319315961
BaseRepresentation
bin1101010100110111011…
…1001110000110100000
3210212221012020002002000
43111031313032012200
512222332013304000
6253101241524000
722353223250454
oct3251567160640
9725835202060
10228939588000
1189102479a82
12384534a3600
1318786ab4746
14b11b774664
155e4de37000
hex354ddce1a0

228939588000 has 1536 divisors, whose sum is σ = 935940096000. Its totient is φ = 54120960000.

The previous prime is 228939587993. The next prime is 228939588023. The reversal of 228939588000 is 885939822.

228939588000 is a `hidden beast` number, since 2 + 28 + 9 + 39 + 588 + 0 + 0 + 0 = 666.

228939588000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3753107970 + ... + 3753108030.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2228939588000 is an apocalyptic number.

228939588000 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 228939588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048000).

228939588000 is an abundant number, since it is smaller than the sum of its proper divisors (707000508000).

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

228939588000 is a wasteful number, since it uses less digits than its factorization.

228939588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 228939588000 in words is "two hundred twenty-eight billion, nine hundred thirty-nine million, five hundred eighty-eight thousand".