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228062016 = 263271319229
BaseRepresentation
bin11011001011111…
…11001101000000
3120220010202021100
431211333031000
5431340441031
634344054400
75436331560
oct1545771500
9526122240
10228062016
1110780a406
1264464400
1338331150
1422408da0
151504dde6
hexd97f340

228062016 has 336 divisors, whose sum is σ = 850595200. Its totient is φ = 56733696.

The previous prime is 228061993. The next prime is 228062017. The reversal of 228062016 is 610260822.

228062016 is a `hidden beast` number, since 2 + 28 + 0 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228062017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995790 + ... + 996018.

Almost surely, 2228062016 is an apocalyptic number.

228062016 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 228062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425297600).

228062016 is an abundant number, since it is smaller than the sum of its proper divisors (622533184).

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

228062016 is a wasteful number, since it uses less digits than its factorization.

228062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228062016 is about 15101.7222858851. The cubic root of 228062016 is about 610.9668587148.

The spelling of 228062016 in words is "two hundred twenty-eight million, sixty-two thousand, sixteen".