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228838847040 = 26325733108401
BaseRepresentation
bin1101010100011111011…
…0111011001001000000
3210212200011122220110100
43111013312323021000
512222130221101130
6253043242402400
722350561051156
oct3250766731100
9725604586410
10228838847040
1189060621891
1238425800400
131876bc718cb
14b10c22d3d6
155e45187c60
hex3547dbb240

228838847040 has 168 divisors, whose sum is σ = 788191375608. Its totient is φ = 60939878400.

The previous prime is 228838847009. The next prime is 228838847051. The reversal of 228838847040 is 40748838822.

228838847040 is a `hidden beast` number, since 22 + 88 + 38 + 8 + 470 + 40 = 666.

228838847040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83165331456 + 145673515584 = 288384^2 + 381672^2 .

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 23 ways as a sum of consecutive naturals, for example, 2056840 + ... + 2165240.

It is an arithmetic number, because the mean of its divisors is an integer number (4691615331).

Almost surely, 2228838847040 is an apocalyptic number.

228838847040 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 228838847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394095687804).

228838847040 is an abundant number, since it is smaller than the sum of its proper divisors (559352528568).

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

228838847040 is a wasteful number, since it uses less digits than its factorization.

228838847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109157 (or 109144 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 228838847040 in words is "two hundred twenty-eight billion, eight hundred thirty-eight million, eight hundred forty-seven thousand, forty".