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2143330800 = 2435213137393
BaseRepresentation
bin111111111000000…
…1010000111110000
312112101001111010020
41333300022013300
513342143041200
6552403003440
7104054003562
oct17760120760
95471044106
102143330800
119aa944176
124b9969580
1328207c7a0
14164929332
15c8275ea0
hex7fc0a1f0

2143330800 has 120 divisors (see below), whose sum is σ = 7393995504. Its totient is φ = 527585280.

The previous prime is 2143330769. The next prime is 2143330807. The reversal of 2143330800 is 80333412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143330807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53097 + ... + 84296.

Almost surely, 22143330800 is an apocalyptic number.

2143330800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2143330800 is an abundant number, since it is smaller than the sum of its proper divisors (5250664704).

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

2143330800 is a wasteful number, since it uses less digits than its factorization.

2143330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137427 (or 137416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2143330800 is about 46296.1207878155. The cubic root of 2143330800 is about 1289.3269730042.

The spelling of 2143330800 in words is "two billion, one hundred forty-three million, three hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 137393 274786 412179 549572 686965 824358 1099144 1373930 1648716 1786109 2060895 2198288 2747860 3297432 3434825 3572218 4121790 5358327 5495720 6594864 6869650 7144436 8243580 8930545 10304475 10716654 10991440 13739300 14288872 16487160 17861090 20608950 21433308 26791635 27478600 28577744 32974320 35722180 41217900 42866616 44652725 53583270 54957200 71444360 82435800 85733232 89305450 107166540 133958175 142888720 164871600 178610900 214333080 267916350 357221800 428666160 535832700 714443600 1071665400 2143330800