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2314230000 = 2435477141
BaseRepresentation
bin1000100111110000…
…0101100011110000
312222021122001202020
42021330011203300
514214420330000
61021345551440
7111230426145
oct21174054360
95867561666
102314230000
11a88360285
12547045580
132ab5b8184
1417d4d43cc
15d8282ba0
hex89f058f0

2314230000 has 100 divisors (see below), whose sum is σ = 7470739848. Its totient is φ = 617120000.

The previous prime is 2314229993. The next prime is 2314230047. The reversal of 2314230000 is 324132.

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 (15).

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, 8571 + ... + 68570.

Almost surely, 22314230000 is an apocalyptic number.

2314230000 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 2314230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735369924).

2314230000 is an abundant number, since it is smaller than the sum of its proper divisors (5156509848).

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

2314230000 is an equidigital number, since it uses as much as digits as its factorization.

2314230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77172 (or 77151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2314230000 is about 48106.4444747271. Note that the first 4 decimals coincide. The cubic root of 2314230000 is about 1322.7228003125.

Adding to 2314230000 its reverse (324132), we get a palindrome (2314554132).

The spelling of 2314230000 in words is "two billion, three hundred 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 77141 154282 231423 308564 385705 462846 617128 771410 925692 1157115 1234256 1542820 1851384 1928525 2314230 3085640 3702768 3857050 4628460 5785575 6171280 7714100 9256920 9642625 11571150 15428200 18513840 19285250 23142300 28927875 30856400 38570500 46284600 48213125 57855750 77141000 92569200 96426250 115711500 144639375 154282000 192852500 231423000 289278750 385705000 462846000 578557500 771410000 1157115000 2314230000