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228305938014 = 233711246310781
BaseRepresentation
bin1101010010100000011…
…0000010011001011110
3210211022000220022201000
43110220012002121132
512220032310004024
6252514324331130
722331430311430
oct3245006023136
9724260808630
10228305938014
1188907828400
12382b7243aa6
13186b573671b
14b09b54c650
155e134bdcc9
hex352818265e

228305938014 has 192 divisors, whose sum is σ = 638763632640. Its totient is φ = 59166676800.

The previous prime is 228305938001. The next prime is 228305938073. The reversal of 228305938014 is 410839503822.

228305938014 is a `hidden beast` number, since 2 + 28 + 30 + 593 + 8 + 0 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21171304 + ... + 21182084.

It is an arithmetic number, because the mean of its divisors is an integer number (3326893920).

Almost surely, 2228305938014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228305938014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319381816320).

228305938014 is an abundant number, since it is smaller than the sum of its proper divisors (410457694626).

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

228305938014 is a wasteful number, since it uses less digits than its factorization.

228305938014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228305938014 in words is "two hundred twenty-eight billion, three hundred five million, nine hundred thirty-eight thousand, fourteen".