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2325354243400 = 235247822130091
BaseRepresentation
bin100001110101101001111…
…010011110010101001000
322020022010221020220010001
4201311221322132111020
5301044311141242100
64540130351332344
7330000305641366
oct41655172362510
98208127226101
102325354243400
118171a4937451
123168045210b4
1313b384109c66
148079502c636
154074b4d4d6a
hex21d69e9e548

2325354243400 has 96 divisors (see below), whose sum is σ = 5522334583680. Its totient is φ = 910210464000.

The previous prime is 2325354243343. The next prime is 2325354243403. The reversal of 2325354243400 is 43424535232.

2325354243400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2325354243400.

It is not an unprimeable number, because it can be changed into a prime (2325354243403) 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, 77262355 + ... + 77292445.

It is an arithmetic number, because the mean of its divisors is an integer number (57524318580).

Almost surely, 22325354243400 is an apocalyptic number.

2325354243400 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 2325354243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761167291840).

2325354243400 is an abundant number, since it is smaller than the sum of its proper divisors (3196980340280).

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

2325354243400 is a wasteful number, since it uses less digits than its factorization.

2325354243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38375 (or 38366 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 37.

Adding to 2325354243400 its reverse (43424535232), we get a palindrome (2368778778632).

The spelling of 2325354243400 in words is "two trillion, three hundred twenty-five billion, three hundred fifty-four million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 8221 9400 16442 30091 32884 41105 60182 65768 82210 120364 150455 164420 205525 240728 300910 328840 386387 411050 601820 752275 772774 822100 1203640 1414277 1504550 1545548 1644200 1931935 2828554 3009100 3091096 3863870 5657108 6018200 7071385 7727740 9659675 11314216 14142770 15455480 19319350 28285540 35356925 38638700 56571080 70713850 77277400 141427700 247378111 282855400 494756222 989512444 1236890555 1979024888 2473781110 4947562220 6184452775 9895124440 11626771217 12368905550 23253542434 24737811100 46507084868 49475622200 58133856085 93014169736 116267712170 232535424340 290669280425 465070848680 581338560850 1162677121700 2325354243400