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228141450 = 232521812801
BaseRepresentation
bin11011001100100…
…10100110001010
3120220021210020100
431212102212022
5431401011300
634345510230
75440112265
oct1546224612
9526253210
10228141450
11107864059
12644a2376
133835b354
1422429cdc
1515067700
hexd99298a

228141450 has 72 divisors (see below), whose sum is σ = 616546476. Its totient is φ = 60480000.

The previous prime is 228141449. The next prime is 228141461. The reversal of 228141450 is 54141822.

It can be written as a sum of positive squares in 6 ways, for example, as 21040569 + 207100881 = 4587^2 + 14391^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80050 + ... + 82850.

Almost surely, 2228141450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228141450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308273238).

228141450 is an abundant number, since it is smaller than the sum of its proper divisors (388405026).

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

228141450 is a wasteful number, since it uses less digits than its factorization.

228141450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 228141450 is about 15104.3520218512. The cubic root of 228141450 is about 611.0377837332.

The spelling of 228141450 in words is "two hundred twenty-eight million, one hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 362 450 543 905 1086 1629 1810 2715 2801 3258 4525 5430 5602 8145 8403 9050 13575 14005 16290 16806 25209 27150 28010 40725 42015 50418 70025 81450 84030 126045 140050 210075 252090 420150 506981 630225 1013962 1260450 1520943 2534905 3041886 4562829 5069810 7604715 9125658 12674525 15209430 22814145 25349050 38023575 45628290 76047150 114070725 228141450