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229195260 = 2232571011801
BaseRepresentation
bin11011010100100…
…11110111111100
3120222021022210100
431222103313330
5432133222020
634424241100
75452061520
oct1552236774
9528238710
10229195260
11108413878
1264910190
1338639bc8
1422621d80
15151c4a90
hexda93dfc

229195260 has 144 divisors (see below), whose sum is σ = 802855872. Its totient is φ = 51840000.

The previous prime is 229195231. The next prime is 229195261. The reversal of 229195260 is 62591922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229195261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126360 + ... + 128160.

It is an arithmetic number, because the mean of its divisors is an integer number (5575388).

Almost surely, 2229195260 is an apocalyptic number.

229195260 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 229195260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401427936).

229195260 is an abundant number, since it is smaller than the sum of its proper divisors (573660612).

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

229195260 is a wasteful number, since it uses less digits than its factorization.

229195260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 229195260 is about 15139.1961477484. The cubic root of 229195260 is about 611.9771553692.

The spelling of 229195260 in words is "two hundred twenty-nine million, one hundred ninety-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1801 1818 2020 2121 2828 3030 3535 3602 3636 4242 4545 5403 6060 6363 7070 7204 8484 9005 9090 10605 10806 12607 12726 14140 16209 18010 18180 21210 21612 25214 25452 27015 31815 32418 36020 37821 42420 50428 54030 63035 63630 64836 75642 81045 108060 113463 126070 127260 151284 162090 181901 189105 226926 252140 324180 363802 378210 453852 545703 567315 727604 756420 909505 1091406 1134630 1273307 1637109 1819010 2182812 2269260 2546614 2728515 3274218 3638020 3819921 5093228 5457030 6366535 6548436 7639842 8185545 10914060 11459763 12733070 15279684 16371090 19099605 22919526 25466140 32742180 38199210 45839052 57298815 76398420 114597630 229195260