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228252192700 = 2252719101169919
BaseRepresentation
bin1101010010010011100…
…1000000111110111100
3210211011021202202222211
43110210321000332330
512214430030131300
6252505124350204
722330205424520
oct3244471007674
9724137682884
10228252192700
118888a459794
12382a1245364
13186a756966c
14b09435bd80
155e0d9044ba
hex3524e40fbc

228252192700 has 144 divisors (see below), whose sum is σ = 601761484800. Its totient is φ = 73404576000.

The previous prime is 228252192631. The next prime is 228252192713. The reversal of 228252192700 is 7291252822.

228252192700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258341 + ... + 1428259.

It is an arithmetic number, because the mean of its divisors is an integer number (4178899200).

Almost surely, 2228252192700 is an apocalyptic number.

228252192700 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 228252192700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300880742400).

228252192700 is an abundant number, since it is smaller than the sum of its proper divisors (373509292100).

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

228252192700 is a wasteful number, since it uses less digits than its factorization.

228252192700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170060 (or 170053 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 228252192700 in words is "two hundred twenty-eight billion, two hundred fifty-two million, one hundred ninety-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 101 133 140 175 190 202 266 350 380 404 475 505 532 665 700 707 950 1010 1330 1414 1900 1919 2020 2525 2660 2828 3325 3535 3838 5050 6650 7070 7676 9595 10100 13300 13433 14140 17675 19190 26866 35350 38380 47975 53732 67165 70700 95950 134330 169919 191900 268660 335825 339838 671650 679676 849595 1189433 1343300 1699190 2378866 3228461 3398380 4247975 4757732 5947165 6456922 8495950 11894330 12913844 16142305 16991900 17161819 22599227 23788660 29735825 32284610 34323638 45198454 59471650 64569220 68647276 80711525 85809095 90396908 112996135 118943300 120132733 161423050 171618190 225992270 240265466 322846100 326074561 343236380 429045475 451984540 480530932 564980675 600663665 652149122 858090950 1129961350 1201327330 1304298244 1630372805 1716181900 2259922700 2282521927 2402654660 3003318325 3260745610 4565043854 6006636650 6521491220 8151864025 9130087708 11412609635 12013273300 16303728050 22825219270 32607456100 45650438540 57063048175 114126096350 228252192700