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23402445000 = 2335411141833
BaseRepresentation
bin10101110010111001…
…001111100011001000
32020101221211101100020
4111302321033203020
5340412011220000
614430111340440
71455635333424
oct256271174310
966357741306
1023402445000
119a1a085340
124651521720
13228c5785bc
1411c012bb84
1591e807ba0
hex572e4f8c8

23402445000 has 160 divisors (see below), whose sum is σ = 79756094880. Its totient is φ = 5673280000.

The previous prime is 23402444983. The next prime is 23402445013. The reversal of 23402445000 is 54420432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94084 + ... + 235916.

It is an arithmetic number, because the mean of its divisors is an integer number (498475593).

Almost surely, 223402445000 is an apocalyptic number.

23402445000 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 23402445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39878047440).

23402445000 is an abundant number, since it is smaller than the sum of its proper divisors (56353649880).

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

23402445000 is a wasteful number, since it uses less digits than its factorization.

23402445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141873 (or 141854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 23402445000 its reverse (54420432), we get a palindrome (23456865432).

The spelling of 23402445000 in words is "twenty-three billion, four hundred two million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3300 3750 4125 5000 5500 6600 6875 7500 8250 11000 13750 15000 16500 20625 27500 33000 41250 55000 82500 141833 165000 283666 425499 567332 709165 850998 1134664 1418330 1560163 1701996 2127495 2836660 3120326 3403992 3545825 4254990 4680489 5673320 6240652 7091650 7800815 8509980 9360978 10637475 12481304 14183300 15601630 17019960 17729125 18721956 21274950 23402445 28366600 31203260 35458250 37443912 39004075 42549900 46804890 53187375 62406520 70916500 78008150 85099800 88645625 93609780 106374750 117012225 141833000 156016300 177291250 187219560 195020375 212749500 234024450 265936875 312032600 354582500 390040750 425499000 468048900 531873750 585061125 709165000 780081500 936097800 975101875 1063747500 1170122250 1560163000 1950203750 2127495000 2340244500 2925305625 3900407500 4680489000 5850611250 7800815000 11701222500 23402445000