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23200244001400 = 2352592158791079
BaseRepresentation
bin1010100011001101110100…
…10011010110101001111000
310001010220212220011000121011
411101212322103112221320
511020103044431021100
6121202013413323304
74613106450142234
oct521467223265170
9101126786130534
1023200244001400
117435193a00864
122728442936534
13cc3a0985501b
145a2c7d7cd5c4
152a375919abba
hex1519ba4d6a78

23200244001400 has 96 divisors (see below), whose sum is σ = 54857957616000. Its totient is φ = 9122285045120.

The previous prime is 23200244001391. The next prime is 23200244001427. The reversal of 23200244001400 is 410044200232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254681061 + ... + 254772139.

It is an arithmetic number, because the mean of its divisors is an integer number (571437058500).

Almost surely, 223200244001400 is an apocalyptic number.

23200244001400 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 23200244001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27428978808000).

23200244001400 is an abundant number, since it is smaller than the sum of its proper divisors (31657713614600).

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

23200244001400 is a wasteful number, since it uses less digits than its factorization.

23200244001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112741 (or 112732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23200244001400 its reverse (410044200232), we get a palindrome (23610288201632).

The spelling of 23200244001400 in words is "twenty-three trillion, two hundred billion, two hundred forty-four million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 5900 11800 21587 43174 86348 91079 107935 172696 182158 215870 364316 431740 455395 539675 728632 863480 910790 1079350 1273633 1821580 2158700 2276975 2547266 3643160 4317400 4553950 5094532 5373661 6368165 9107900 10189064 10747322 12736330 18215800 21494644 25472660 26868305 31840825 42989288 50945320 53736610 63681650 107473220 127363300 134341525 214946440 254726600 268683050 537366100 1074732200 1966122373 3932244746 7864489492 9830611865 15728978984 19661223730 39322447460 49153059325 78644894920 98306118650 116001220007 196612237300 232002440014 393224474600 464004880028 580006100035 928009760056 1160012200070 2320024400140 2900030500175 4640048800280 5800061000350 11600122000700 23200244001400