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221422122401652 = 2232411303115130459
BaseRepresentation
bin110010010110000111011010…
…111100110111111101110100
31002000222202012102021210200100
4302112013122330313331310
5213010240001313323102
62102531530242114100
764432135415321334
oct6226073274677564
91060882172253610
10221422122401652
116460865a6a6447
1220a0111094b930
13967202a486873
143c96c605b10c4
151a8ea6e2e0a1c
hexc961daf37f74

221422122401652 has 72 divisors (see below), whose sum is σ = 573797318028480. Its totient is φ = 71951931031680.

The previous prime is 221422122401609. The next prime is 221422122401659. The reversal of 221422122401652 is 256104221224122.

221422122401652 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 221 + 22 + 401 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221422122401659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55642002 + ... + 59488457.

It is an arithmetic number, because the mean of its divisors is an integer number (7969407194840).

Almost surely, 2221422122401652 is an apocalyptic number.

It is an amenable number.

221422122401652 is an abundant number, since it is smaller than the sum of its proper divisors (352375195626828).

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

221422122401652 is a wasteful number, since it uses less digits than its factorization.

221422122401652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115131813 (or 115131808 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 221422122401652 its reverse (256104221224122), we get a palindrome (477526343625774).

The spelling of 221422122401652 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, one hundred twenty-two million, four hundred one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1303 1476 2606 3909 5212 7818 11727 15636 23454 46908 53423 106846 160269 213692 320538 480807 641076 961614 1923228 115130459 230260918 345391377 460521836 690782754 1036174131 1381565508 2072348262 4144696524 4720348819 9440697638 14161046457 18881395276 28322092914 42483139371 56644185828 84966278742 150014988077 169932557484 300029976154 450044964231 600059952308 900089928462 1350134892693 1800179856924 2700269785386 5400539570772 6150614511157 12301229022314 18451843533471 24602458044628 36903687066942 55355530600413 73807374133884 110711061200826 221422122401652