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2235000130400 = 255231611477393
BaseRepresentation
bin100000100001100000011…
…000111000101101100000
321220122221000001101021102
4200201200120320231200
5243104240013133100
64430424521213532
7320321246440412
oct40414030705540
97818830041242
102235000130400
11791949341a94
123011a90312a8
131329b4b2167b
147a2630b29b2
153d20e00acd5
hex20860638b60

2235000130400 has 144 divisors (see below), whose sum is σ = 5724535356288. Its totient is φ = 850977792000.

The previous prime is 2235000130387. The next prime is 2235000130403. The reversal of 2235000130400 is 40310005322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235000130403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774104 + ... + 2251496.

It is an arithmetic number, because the mean of its divisors is an integer number (39753717752).

Almost surely, 22235000130400 is an apocalyptic number.

2235000130400 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 2235000130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862267678144).

2235000130400 is an abundant number, since it is smaller than the sum of its proper divisors (3489535225888).

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

2235000130400 is a wasteful number, since it uses less digits than its factorization.

2235000130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477505 (or 1477492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 2235000130400 its reverse (40310005322), we get a palindrome (2275310135722).

The spelling of 2235000130400 in words is "two trillion, two hundred thirty-five billion, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 61 62 80 100 122 124 155 160 200 244 248 305 310 400 488 496 610 620 775 800 976 992 1220 1240 1525 1550 1891 1952 2440 2480 3050 3100 3782 4880 4960 6100 6200 7564 9455 9760 12200 12400 15128 18910 24400 24800 30256 37820 47275 48800 60512 75640 94550 151280 189100 302560 378200 756400 1477393 1512800 2954786 5909572 7386965 11819144 14773930 23638288 29547860 36934825 45799183 47276576 59095720 73869650 90120973 91598366 118191440 147739300 180241946 183196732 228995915 236382880 295478600 360483892 366393464 450604865 457991830 590957200 720967784 732786928 901209730 915983660 1144979575 1181914400 1441935568 1465573856 1802419460 1831967320 2253024325 2289959150 2793750163 2883871136 3604838920 3663934640 4506048650 4579918300 5587500326 7209677840 7327869280 9012097300 9159836600 11175000652 13968750815 14419355680 18024194600 18319673200 22350001304 27937501630 36048389200 36639346400 44700002608 55875003260 69843754075 72096778400 89400005216 111750006520 139687508150 223500013040 279375016300 447000026080 558750032600 1117500065200 2235000130400