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228542236416 = 2832137739871
BaseRepresentation
bin1101010011011000101…
…1011100011100000000
3210211220111112112011200
43110312023130130000
512221023303031131
6252554005141200
722340326646154
oct3246613343400
9724814475150
10228542236416
1188a1915293a
12383623ba800
131872268c770
14b0c0a9d064
155e290e82e6
hex35362dc700

228542236416 has 216 divisors, whose sum is σ = 710621585856. Its totient is φ = 70222602240.

The previous prime is 228542236381. The next prime is 228542236423. The reversal of 228542236416 is 614632245822.

It is a happy number.

228542236416 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 4 + 223 + 6 + 416 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23147961 + ... + 23157831.

Almost surely, 2228542236416 is an apocalyptic number.

228542236416 is a gapful number since it is divisible by the number (26) 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 228542236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355310792928).

228542236416 is an abundant number, since it is smaller than the sum of its proper divisors (482079349440).

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

228542236416 is a wasteful number, since it uses less digits than its factorization.

228542236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10662 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 228542236416 in words is "two hundred twenty-eight billion, five hundred forty-two million, two hundred thirty-six thousand, four hundred sixteen".