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2014230000 = 2435467141
BaseRepresentation
bin111100000001110…
…1011010111110000
312012101010111010010
41320003223113300
513111120330000
6531511534520
7100625446446
oct17003532760
95171114103
102014230000
11943a868a2
1248268a440
132613ba393
14151720b96
15bbc73d50
hex780eb5f0

2014230000 has 100 divisors (see below), whose sum is σ = 6502299848. Its totient is φ = 537120000.

The previous prime is 2014229983. The next prime is 2014230011. The reversal of 2014230000 is 324102.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3571 + ... + 63570.

Almost surely, 22014230000 is an apocalyptic number.

2014230000 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 2014230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251149924).

2014230000 is an abundant number, since it is smaller than the sum of its proper divisors (4488069848).

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

2014230000 is an equidigital number, since it uses as much as digits as its factorization.

2014230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67172 (or 67151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2014230000 is about 44880.1737964549. The cubic root of 2014230000 is about 1262.9021037245.

Adding to 2014230000 its reverse (324102), we get a palindrome (2014554102).

The spelling of 2014230000 in words is "two billion, fourteen million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 67141 134282 201423 268564 335705 402846 537128 671410 805692 1007115 1074256 1342820 1611384 1678525 2014230 2685640 3222768 3357050 4028460 5035575 5371280 6714100 8056920 8392625 10071150 13428200 16113840 16785250 20142300 25177875 26856400 33570500 40284600 41963125 50355750 67141000 80569200 83926250 100711500 125889375 134282000 167852500 201423000 251778750 335705000 402846000 503557500 671410000 1007115000 2014230000