Search a number
-
+
229158440 = 23571635021
BaseRepresentation
bin11011010100010…
…10111000101000
3120222012110021122
431222022320220
5432131032230
634423354412
75451546260
oct1552127050
9528173248
10229158440
11108399145
12648b2a08
1338626214
14226127a0
15151b8be5
hexda8ae28

229158440 has 64 divisors (see below), whose sum is σ = 592997760. Its totient is φ = 78071040.

The previous prime is 229158331. The next prime is 229158443. The reversal of 229158440 is 44851922.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 229158440.

It is not an unprimeable number, because it can be changed into a prime (229158443) by changing a digit.

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, 43130 + ... + 48150.

It is an arithmetic number, because the mean of its divisors is an integer number (9265590).

Almost surely, 2229158440 is an apocalyptic number.

229158440 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 229158440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296498880).

229158440 is an abundant number, since it is smaller than the sum of its proper divisors (363839320).

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

229158440 is a wasteful number, since it uses less digits than its factorization.

229158440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 229158440 is about 15137.9800501916. The cubic root of 229158440 is about 611.9443824320.

The spelling of 229158440 in words is "two hundred twenty-nine million, one hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 652 815 1141 1304 1630 2282 3260 4564 5021 5705 6520 9128 10042 11410 20084 22820 25105 35147 40168 45640 50210 70294 100420 140588 175735 200840 281176 351470 702940 818423 1405880 1636846 3273692 4092115 5728961 6547384 8184230 11457922 16368460 22915844 28644805 32736920 45831688 57289610 114579220 229158440