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20440211320 = 23523139159839
BaseRepresentation
bin10011000010010101…
…001101111101111000
31221202111212022122201
4103002111031331320
5313330143230240
613220132355544
71322345633554
oct230225157570
957674768581
1020440211320
118739a6a331
123b65475bb4
131c09957cc9
14dbc956864
157e9723d9a
hex4c254df78

20440211320 has 64 divisors (see below), whose sum is σ = 48335616000. Its totient is φ = 7764290688.

The previous prime is 20440211303. The next prime is 20440211321. The reversal of 20440211320 is 2311204402.

It is a super-2 number, since 2×204402113202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440211321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47961 + ... + 207799.

It is an arithmetic number, because the mean of its divisors is an integer number (755244000).

Almost surely, 220440211320 is an apocalyptic number.

20440211320 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 20440211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167808000).

20440211320 is an abundant number, since it is smaller than the sum of its proper divisors (27895404680).

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

20440211320 is a wasteful number, since it uses less digits than its factorization.

20440211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160012 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20440211320 its reverse (2311204402), we get a palindrome (22751415722).

The spelling of 20440211320 in words is "twenty billion, four hundred forty million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 278 460 556 695 920 1112 1390 2780 3197 5560 6394 12788 15985 25576 31970 63940 127880 159839 319678 639356 799195 1278712 1598390 3196780 3676297 6393560 7352594 14705188 18381485 22217621 29410376 36762970 44435242 73525940 88870484 111088105 147051880 177740968 222176210 444352420 511005283 888704840 1022010566 2044021132 2555026415 4088042264 5110052830 10220105660 20440211320