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228646668816 = 24321726782003
BaseRepresentation
bin1101010011110001100…
…1110100101000010000
3210212011210001020111100
43110330121310220100
512221232021400231
6253012215344400
722343035421616
oct3247431645020
9725153036440
10228646668816
1188a720a1505
1238391382100
131873b1c5897
14b0d08c56b6
155e333761e6
hex353c674a10

228646668816 has 180 divisors, whose sum is σ = 689901948112. Its totient is φ = 70660795392.

The previous prime is 228646668787. The next prime is 228646668911. The reversal of 228646668816 is 618866646822.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2747271 + ... + 2829273.

Almost surely, 2228646668816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228646668816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344950974056).

228646668816 is an abundant number, since it is smaller than the sum of its proper divisors (461255279296).

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

228646668816 is a wasteful number, since it uses less digits than its factorization.

228646668816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82118 (or 82092 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 228646668816 in words is "two hundred twenty-eight billion, six hundred forty-six million, six hundred sixty-eight thousand, eight hundred sixteen".