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23414214200 = 23521337243391
BaseRepresentation
bin10101110011100110…
…001000111000111000
32020102202222022122112
4111303212020320320
5340423014323300
614431211511452
71456140352106
oct256346107070
966382868575
1023414214200
119a25793753
124655458588
132291b39520
1411c1912c76
1592087ee35
hex573988e38

23414214200 has 96 divisors (see below), whose sum is σ = 60210312960. Its totient is φ = 8411558400.

The previous prime is 23414214179. The next prime is 23414214221. The reversal of 23414214200 is 241241432.

It is an interprime number because it is at equal distance from previous prime (23414214179) and next prime (23414214221).

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 23 ways as a sum of consecutive naturals, for example, 25496 + ... + 217895.

It is an arithmetic number, because the mean of its divisors is an integer number (627190760).

Almost surely, 223414214200 is an apocalyptic number.

23414214200 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 23414214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30105156480).

23414214200 is an abundant number, since it is smaller than the sum of its proper divisors (36796098760).

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

23414214200 is a wasteful number, since it uses less digits than its factorization.

23414214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243457 (or 243448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 23414214200 its reverse (241241432), we get a palindrome (23655455632).

The spelling of 23414214200 in words is "twenty-three billion, four hundred fourteen million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 130 148 185 200 260 296 325 370 481 520 650 740 925 962 1300 1480 1850 1924 2405 2600 3700 3848 4810 7400 9620 12025 19240 24050 48100 96200 243391 486782 973564 1216955 1947128 2433910 3164083 4867820 6084775 6328166 9005467 9735640 12169550 12656332 15820415 18010934 24339100 25312664 31640830 36021868 45027335 48678200 63281660 72043736 79102075 90054670 117071071 126563320 158204150 180109340 225136675 234142142 316408300 360218680 450273350 468284284 585355355 632816600 900546700 936568568 1170710710 1801093400 2341421420 2926776775 4682842840 5853553550 11707107100 23414214200