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2143334000 = 24532274721
BaseRepresentation
bin111111111000000…
…1010111001110000
312112101001122111202
41333300022321300
513342143142000
6552403030332
7104054016113
oct17760127160
95471048452
102143334000
119aa946615
124b996b3a8
13282081092
1416492a57a
15c8276dd5
hex7fc0ae70

2143334000 has 80 divisors (see below), whose sum is σ = 5206514976. Its totient is φ = 853376000.

The previous prime is 2143333993. The next prime is 2143334021. The reversal of 2143334000 is 4333412.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 451640 + ... + 456360.

Almost surely, 22143334000 is an apocalyptic number.

2143334000 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 2143334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603257488).

2143334000 is an abundant number, since it is smaller than the sum of its proper divisors (3063180976).

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

2143334000 is a wasteful number, since it uses less digits than its factorization.

2143334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2143334000 is about 46296.1553479336. The cubic root of 2143334000 is about 1289.3276146604.

Adding to 2143334000 its reverse (4333412), we get a palindrome (2147667412).

The spelling of 2143334000 in words is "two billion, one hundred forty-three million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 400 454 500 908 1000 1135 1816 2000 2270 3632 4540 4721 5675 9080 9442 11350 18160 18884 22700 23605 28375 37768 45400 47210 56750 75536 90800 94420 113500 118025 188840 227000 236050 377680 454000 472100 590125 944200 1071667 1180250 1888400 2143334 2360500 4286668 4721000 5358335 8573336 9442000 10716670 17146672 21433340 26791675 42866680 53583350 85733360 107166700 133958375 214333400 267916750 428666800 535833500 1071667000 2143334000