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2252202143301 = 3211193117873143
BaseRepresentation
bin100000110001100001101…
…101010110111001000101
321222022022211200011210100
4200301201231112321011
5243400002222041201
64442351500114313
7321500445231465
oct40614155267105
97868284604710
102252202143301
11799176438980
123045a9b35999
131344c6925326
147b015939ba5
153d8b92d8886
hex20c61b56e45

2252202143301 has 24 divisors (see below), whose sum is σ = 3567312830016. Its totient is φ = 1357898595840.

The previous prime is 2252202143281. The next prime is 2252202143353. The reversal of 2252202143301 is 1033412022522.

2252202143301 is a `hidden beast` number, since 2 + 2 + 5 + 220 + 2 + 1 + 433 + 0 + 1 = 666.

It is not a de Polignac number, because 2252202143301 - 210 = 2252202142277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252202143101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58917465 + ... + 58955678.

It is an arithmetic number, because the mean of its divisors is an integer number (148638034584).

Almost surely, 22252202143301 is an apocalyptic number.

It is an amenable number.

2252202143301 is a deficient number, since it is larger than the sum of its proper divisors (1315110686715).

2252202143301 is a wasteful number, since it uses less digits than its factorization.

2252202143301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117873353 (or 117873350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2252202143301 its reverse (1033412022522), we get a palindrome (3285614165823).

It can be divided in two parts, 225220 and 2143301, that added together give a square (2368521 = 15392).

The spelling of 2252202143301 in words is "two trillion, two hundred fifty-two billion, two hundred two million, one hundred forty-three thousand, three hundred one".

Divisors: 1 3 9 11 33 99 193 579 1737 2123 6369 19107 117873143 353619429 1060858287 1296604573 3889813719 11669441157 22749516599 68248549797 204745649391 250244682589 750734047767 2252202143301