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228888144 = 24321589501
BaseRepresentation
bin11011010010010…
…00111001010000
3120221200201111200
431221020321100
5432043410034
634413511200
75446342242
oct1551107120
9527621450
10228888144
11108224061
12647a2500
1338560194
1422582092
1515163a99
hexda48e50

228888144 has 30 divisors (see below), whose sum is σ = 640569306. Its totient is φ = 76296000.

The previous prime is 228888133. The next prime is 228888151. The reversal of 228888144 is 441888822.

228888144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 129686544 + 99201600 = 11388^2 + 9960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 228888144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794607 + ... + 794894.

Almost surely, 2228888144 is an apocalyptic number.

228888144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228888144 is an abundant number, since it is smaller than the sum of its proper divisors (411681162).

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

228888144 is a wasteful number, since it uses less digits than its factorization.

228888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589515 (or 1589506 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 228888144 is about 15129.0496727323. The cubic root of 228888144 is about 611.7036884177.

The spelling of 228888144 in words is "two hundred twenty-eight million, eight hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1589501 3179002 4768503 6358004 9537006 12716008 14305509 19074012 25432016 28611018 38148024 57222036 76296048 114444072 228888144