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228142304 = 25132918911
BaseRepresentation
bin11011001100100…
…10110011100000
3120220021211101222
431212102303200
5431401023204
634345514212
75440114625
oct1546226340
9526254358
10228142304
11107864765
12644a2968
133835b860
142242a34c
1515067abe
hexd992ce0

228142304 has 48 divisors (see below), whose sum is σ = 500411520. Its totient is φ = 101660160.

The previous prime is 228142279. The next prime is 228142319. The reversal of 228142304 is 403241822.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2609 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (10425240).

Almost surely, 2228142304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250205760).

228142304 is an abundant number, since it is smaller than the sum of its proper divisors (272269216).

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

228142304 is a wasteful number, since it uses less digits than its factorization.

228142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18963 (or 18955 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 228142304 is about 15104.3802918226. The cubic root of 228142304 is about 611.0385461631.

The spelling of 228142304 in words is "two hundred twenty-eight million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 18911 37822 75644 151288 245843 302576 491686 548419 605152 983372 1096838 1966744 2193676 3933488 4387352 7129447 7866976 8774704 14258894 17549408 28517788 57035576 114071152 228142304