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228042360000 = 2632547136961
BaseRepresentation
bin1101010001100001100…
…0100100010011000000
3210210121122221011122100
43110120120210103000
512214012321010000
6252432231110400
722322050035420
oct3243030442300
9723548834570
10228042360000
1188791a70334
1238242b12400
1318672c4b9c0
14b07453a480
155dea2a6a00
hex35186244c0

228042360000 has 840 divisors, whose sum is σ = 1005426085664. Its totient is φ = 48107520000.

The previous prime is 228042359983. The next prime is 228042360089. The reversal of 228042360000 is 63240822.

It is a tau number, because it is divible by the number of its divisors (840).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32756520 + ... + 32763480.

Almost surely, 2228042360000 is an apocalyptic number.

228042360000 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 228042360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502713042832).

228042360000 is an abundant number, since it is smaller than the sum of its proper divisors (777383725664).

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

228042360000 is a wasteful number, since it uses less digits than its factorization.

228042360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 228042360000 in words is "two hundred twenty-eight billion, forty-two million, three hundred sixty thousand".