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20342230000 = 24543754979
BaseRepresentation
bin10010111100011111…
…011100101111110000
31221111200111100112221
4102330133130233300
5313130102330000
613202312330424
71320046050001
oct227437345760
957450440487
1020342230000
118699727534
123b386a3a14
131bc25702b1
14dad92d1a8
157e0d1c61a
hex4bc7dcbf0

20342230000 has 100 divisors (see below), whose sum is σ = 50582589640. Its totient is φ = 7916832000.

The previous prime is 20342229989. The next prime is 20342230001. The reversal of 20342230000 is 3224302.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342230001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 342511 + ... + 397489.

Almost surely, 220342230000 is an apocalyptic number.

20342230000 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 20342230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291294820).

20342230000 is an abundant number, since it is smaller than the sum of its proper divisors (30240359640).

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

20342230000 is an equidigital number, since it uses as much as digits as its factorization.

20342230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55044 (or 55023 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20342230000 its reverse (3224302), we get a palindrome (20345454302).

The spelling of 20342230000 in words is "twenty billion, three hundred forty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 54979 74000 92500 109958 185000 219916 274895 370000 439832 549790 879664 1099580 1374475 2034223 2199160 2748950 4068446 4398320 5497900 6872375 8136892 10171115 10995800 13744750 16273784 20342230 21991600 27489500 32547568 34361875 40684460 50855575 54979000 68723750 81368920 101711150 109958000 137447500 162737840 203422300 254277875 274895000 406844600 508555750 549790000 813689200 1017111500 1271389375 2034223000 2542778750 4068446000 5085557500 10171115000 20342230000