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228952528 = 2474173683
BaseRepresentation
bin11011010010110…
…00100111010000
3120221210222211021
431221120213100
5432102440103
634415125224
75450031040
oct1551304720
9527728737
10228952528
11108268472
1264813814
133858358c
142259b720
1515177bbd
hexda589d0

228952528 has 80 divisors (see below), whose sum is σ = 527216256. Its totient is φ = 94279680.

The previous prime is 228952519. The next prime is 228952531. The reversal of 228952528 is 825259822.

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 15 ways as a sum of consecutive naturals, for example, 334875 + ... + 335557.

Almost surely, 2228952528 is an apocalyptic number.

228952528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228952528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608128).

228952528 is an abundant number, since it is smaller than the sum of its proper divisors (298263728).

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

228952528 is a wasteful number, since it uses less digits than its factorization.

228952528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The square root of 228952528 is about 15131.1773500941. The cubic root of 228952528 is about 611.7610384657.

The spelling of 228952528 in words is "two hundred twenty-eight million, nine hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 73 82 112 146 164 287 292 328 511 574 584 656 683 1022 1148 1168 1366 2044 2296 2732 2993 4088 4592 4781 5464 5986 8176 9562 10928 11972 19124 20951 23944 28003 38248 41902 47888 49859 56006 76496 83804 99718 112012 167608 196021 199436 224024 335216 349013 392042 398872 448048 698026 784084 797744 1396052 1568168 2044219 2792104 3136336 4088438 5584208 8176876 14309533 16353752 28619066 32707504 57238132 114476264 228952528