Search a number
-
+
2143523000 = 2353191011117
BaseRepresentation
bin111111111000011…
…1001000010111000
312112101102020202202
41333300321002320
513342220214000
6552411045332
7104055434123
oct17760710270
95471366682
102143523000
119aaa65613
124b9a40848
13282119108
141649793ba
15c82b2dd5
hex7fc390b8

2143523000 has 128 divisors (see below), whose sum is σ = 5336884800. Its totient is φ = 803520000.

The previous prime is 2143522999. The next prime is 2143523029. The reversal of 2143523000 is 3253412.

It is a happy number.

It is a super-4 number, since 4×21435230004 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918442 + ... + 1919558.

Almost surely, 22143523000 is an apocalyptic number.

2143523000 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 2143523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668442400).

2143523000 is an abundant number, since it is smaller than the sum of its proper divisors (3193361800).

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

2143523000 is a wasteful number, since it uses less digits than its factorization.

2143523000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2143523000 is about 46298.1965091514. The cubic root of 2143523000 is about 1289.3655113448.

Adding to 2143523000 its reverse (3253412), we get a palindrome (2146776412).

The spelling of 2143523000 in words is "two billion, one hundred forty-three million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 101 125 152 190 200 202 250 380 404 475 500 505 760 808 950 1000 1010 1117 1900 1919 2020 2234 2375 2525 3800 3838 4040 4468 4750 5050 5585 7676 8936 9500 9595 10100 11170 12625 15352 19000 19190 20200 21223 22340 25250 27925 38380 42446 44680 47975 50500 55850 76760 84892 95950 101000 106115 111700 112817 139625 169784 191900 212230 223400 225634 239875 279250 383800 424460 451268 479750 530575 558500 564085 848920 902536 959500 1061150 1117000 1128170 1919000 2122300 2143523 2256340 2652875 2820425 4244600 4287046 4512680 5305750 5640850 8574092 10611500 10717615 11281700 14102125 17148184 21223000 21435230 22563400 28204250 42870460 53588075 56408500 85740920 107176150 112817000 214352300 267940375 428704600 535880750 1071761500 2143523000