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229789890 = 232511221101
BaseRepresentation
bin11011011001001…
…01000011000010
3121000101112110200
431230211003002
5432311234030
634445110030
75460116241
oct1554450302
9530345420
10229789890
1110878a600
1264b58316
13387b7765
1422738958
1515290d60
hexdb250c2

229789890 has 72 divisors (see below), whose sum is σ = 656736444. Its totient is φ = 55704000.

The previous prime is 229789873. The next prime is 229789891. The reversal of 229789890 is 98987922.

It can be written as a sum of positive squares in 2 ways, for example, as 219543489 + 10246401 = 14817^2 + 3201^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (229789891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340 + ... + 21440.

Almost surely, 2229789890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229789890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328368222).

229789890 is an abundant number, since it is smaller than the sum of its proper divisors (426946554).

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

229789890 is a wasteful number, since it uses less digits than its factorization.

229789890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21136 (or 21122 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 229789890 is about 15158.8221837978. The cubic root of 229789890 is about 612.5059413557.

The spelling of 229789890 in words is "two hundred twenty-nine million, seven hundred eighty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 21101 42202 63303 105505 126606 189909 211010 232111 316515 379818 464222 633030 696333 949545 1160555 1392666 1899090 2088999 2321110 2553221 3481665 4177998 5106442 6963330 7659663 10444995 12766105 15319326 20889990 22978989 25532210 38298315 45957978 76596630 114894945 229789890