Search a number
-
+
229354128 = 24321592737
BaseRepresentation
bin11011010101110…
…10101010010000
3120222120101201100
431222322222100
5432203313003
634431504400
75453322633
oct1552725220
9528511640
10229354128
11108512173
1264988100
1338694303
1422663c1a
1515206ba3
hexdabaa90

229354128 has 30 divisors (see below), whose sum is σ = 641873414. Its totient is φ = 76451328.

The previous prime is 229354087. The next prime is 229354129. The reversal of 229354128 is 821453922.

It is a happy number.

229354128 is a `hidden beast` number, since 2 + 2 + 93 + 541 + 28 = 666.

229354128 is digitally balanced in base 2 and base 3, because in such bases 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., 183548304 + 45805824 = 13548^2 + 6768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229354092 and 229354101.

It is not an unprimeable number, because it can be changed into a prime (229354129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 796225 + ... + 796512.

Almost surely, 2229354128 is an apocalyptic number.

It is an amenable number.

229354128 is an abundant number, since it is smaller than the sum of its proper divisors (412519286).

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

229354128 is a wasteful number, since it uses less digits than its factorization.

229354128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592751 (or 1592742 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 229354128 is about 15144.4421488545. The cubic root of 229354128 is about 612.1185211951.

It can be divided in two parts, 22935 and 4128, that multiplied together give a triangular number (94675680 = T13760).

The spelling of 229354128 in words is "two hundred twenty-nine million, three hundred fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1592737 3185474 4778211 6370948 9556422 12741896 14334633 19112844 25483792 28669266 38225688 57338532 76451376 114677064 229354128