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228333375869664 = 25313617349998219
BaseRepresentation
bin110011111010101100000001…
…110000100101001011100000
31002221110110100112222211210110
4303322230001300211023200
5214412003223210312124
62125342523233331320
766044353624443642
oct6372540160451340
91087413315884713
10228333375869664
116683270604877a
1221738655706b40
139a5398b885170
144055574196892
151b5e71d711029
hexcfab01c252e0

228333375869664 has 384 divisors, whose sum is σ = 665263670400000. Its totient is φ = 68136113848320.

The previous prime is 228333375869663. The next prime is 228333375869707. The reversal of 228333375869664 is 466968573333822.

It is a super-2 number, since 2×2283333758696642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228333375869663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27781158547 + ... + 27781166765.

It is an arithmetic number, because the mean of its divisors is an integer number (1732457475000).

Almost surely, 2228333375869664 is an apocalyptic number.

228333375869664 is a gapful number since it is divisible by the number (24) 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 228333375869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332631835200000).

228333375869664 is an abundant number, since it is smaller than the sum of its proper divisors (436930294530336).

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

228333375869664 is a wasteful number, since it uses less digits than its factorization.

228333375869664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378 (or 13370 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 75.

The spelling of 228333375869664 in words is "two hundred twenty-eight trillion, three hundred thirty-three billion, three hundred seventy-five million, eight hundred sixty-nine thousand, six hundred sixty-four".