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10040223700 = 225213103167449
BaseRepresentation
bin10010101100111000…
…11010011111010100
3221220201110012200001
421112130122133110
5131030244124300
64340140501044
7503543331133
oct112634323724
927821405601
1010040223700
114292498741
121b4254a784
13c40131a90
146b363391a
153db6a616a
hex25671a7d4

10040223700 has 144 divisors (see below), whose sum is σ = 23885971200. Its totient is φ = 3641057280.

The previous prime is 10040223619. The next prime is 10040223701. The reversal of 10040223700 is 732204001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040223701) 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, 22361076 + ... + 22361524.

It is an arithmetic number, because the mean of its divisors is an integer number (165874800).

Almost surely, 210040223700 is an apocalyptic number.

10040223700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10040223700 is the 53560-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040223700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942985600).

10040223700 is an abundant number, since it is smaller than the sum of its proper divisors (13845747500).

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

10040223700 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10040223699) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (739).

10040223700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

Adding to 10040223700 its reverse (732204001), we get a palindrome (10772427701).

The spelling of 10040223700 in words is "ten billion, forty million, two hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 167 206 260 325 334 412 449 515 650 668 835 898 1030 1300 1339 1670 1796 2060 2171 2245 2575 2678 3340 4175 4342 4490 5150 5356 5837 6695 8350 8684 8980 10300 10855 11225 11674 13390 16700 17201 21710 22450 23348 26780 29185 33475 34402 43420 44900 46247 54275 58370 66950 68804 74983 86005 92494 108550 116740 133900 145925 149966 172010 184988 217100 223613 231235 291850 299932 344020 374915 430025 447226 462470 583700 601211 749830 860050 894452 924940 974779 1118065 1156175 1202422 1499660 1720100 1874575 1949558 2236130 2312350 2404844 3006055 3749150 3899116 4472260 4624700 4873895 5590325 6012110 7498300 7723249 9747790 11180650 12024220 15030275 15446498 19495580 22361300 24369475 30060550 30892996 38616245 48738950 60121100 77232490 97477900 100402237 154464980 193081225 200804474 386162450 401608948 502011185 772324900 1004022370 2008044740 2510055925 5020111850 10040223700