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228584370 = 23575691913
BaseRepresentation
bin11011001111111…
…10101110110010
3120221010021210210
431213332232302
5432004144440
634403204550
75443635510
oct1547765662
9527107723
10228584370
11108036903
1264676756
1338484b31
14225034b0
1515103a80
hexd9febb2

228584370 has 64 divisors (see below), whose sum is σ = 628404480. Its totient is φ = 52128768.

The previous prime is 228584341. The next prime is 228584393. The reversal of 228584370 is 73485822.

228584370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118534 + ... + 120446.

It is an arithmetic number, because the mean of its divisors is an integer number (9818820).

Almost surely, 2228584370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228584370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314202240).

228584370 is an abundant number, since it is smaller than the sum of its proper divisors (399820110).

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

228584370 is a wasteful number, since it uses less digits than its factorization.

228584370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499.

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 228584370 is about 15119.0069118312. The cubic root of 228584370 is about 611.4329565534.

The spelling of 228584370 in words is "two hundred twenty-eight million, five hundred eighty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 569 1138 1707 1913 2845 3414 3826 3983 5690 5739 7966 8535 9565 11478 11949 13391 17070 19130 19915 23898 26782 28695 39830 40173 57390 59745 66955 80346 119490 133910 200865 401730 1088497 2176994 3265491 5442485 6530982 7619479 10884970 15238958 16327455 22858437 32654910 38097395 45716874 76194790 114292185 228584370