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289149228 = 22323725867
BaseRepresentation
bin10001001111000…
…001000100101100
3202011002022011200
4101033001010230
51043010233403
644405245500
710110504444
oct2117010454
9664068150
10289149228
11139243105
1280a03890
1347b9bc24
142a58b124
151a5b8ca3
hex113c112c

289149228 has 54 divisors (see below), whose sum is σ = 751321116. Its totient is φ = 93762144.

The previous prime is 289149221. The next prime is 289149233. The reversal of 289149228 is 822941982.

It is a happy number.

289149228 is a `hidden beast` number, since 289 + 149 + 228 = 666.

It is not an unprimeable number, because it can be changed into a prime (289149221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46351 + ... + 52217.

It is an arithmetic number, because the mean of its divisors is an integer number (13913354).

Almost surely, 2289149228 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 289149228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375660558).

289149228 is an abundant number, since it is smaller than the sum of its proper divisors (462171888).

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

289149228 is a wasteful number, since it uses less digits than its factorization.

289149228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5909 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 289149228 is about 17004.3884923863. The cubic root of 289149228 is about 661.2626791832.

The spelling of 289149228 in words is "two hundred eighty-nine million, one hundred forty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 5867 8214 11734 12321 16428 17601 23468 24642 35202 49284 52803 70404 105606 211212 217079 434158 651237 868316 1302474 1953711 2604948 3907422 7814844 8031923 16063846 24095769 32127692 48191538 72287307 96383076 144574614 289149228