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229022980 = 225172572621
BaseRepresentation
bin11011010011010…
…01110100000100
3120221221120110121
431221221310010
5432112213410
634420431324
75450443324
oct1551516404
9527846417
10229022980
1110830639a
1264848544
13385a9674
14225b9284
151518d9da
hexda69d04

229022980 has 48 divisors (see below), whose sum is σ = 511415856. Its totient is φ = 85852160.

The previous prime is 229022971. The next prime is 229023001. The reversal of 229022980 is 89220922.

It can be written as a sum of positive squares in 8 ways, for example, as 69455556 + 159567424 = 8334^2 + 12632^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 86070 + ... + 88690.

It is an arithmetic number, because the mean of its divisors is an integer number (10654497).

Almost surely, 2229022980 is an apocalyptic number.

229022980 is a gapful number since it is divisible by the number (20) 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 229022980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255707928).

229022980 is an abundant number, since it is smaller than the sum of its proper divisors (282392876).

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

229022980 is a wasteful number, since it uses less digits than its factorization.

229022980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 229022980 is about 15133.5052119461. The cubic root of 229022980 is about 611.8237812665.

The spelling of 229022980 in words is "two hundred twenty-nine million, twenty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 257 340 514 1028 1285 2570 2621 4369 5140 5242 8738 10484 13105 17476 21845 26210 43690 44557 52420 87380 89114 178228 222785 445570 673597 891140 1347194 2694388 3367985 6735970 11451149 13471940 22902298 45804596 57255745 114511490 229022980