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221541216230064 = 24347449218710231
BaseRepresentation
bin110010010111110110010101…
…011111110001101010110000
31002001102010121021100010110010
4302113312111133301222300
5213014212402323330224
62103102344004134520
764443552602212143
oct6227662537615260
91061363537303403
10221541216230064
1164654113aa3425
1220a20209097440
1396803299c6413
143c9c91b43205a
151a92bde94ae29
hexc97d957f1ab0

221541216230064 has 80 divisors (see below), whose sum is σ = 585793485388800. Its totient is φ = 72114886717440.

The previous prime is 221541216230063. The next prime is 221541216230119. The reversal of 221541216230064 is 460032612145122.

It is not an unprimeable number, because it can be changed into a prime (221541216230063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108342172 + ... + 110368059.

It is an arithmetic number, because the mean of its divisors is an integer number (7322418567360).

Almost surely, 2221541216230064 is an apocalyptic number.

221541216230064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221541216230064 is an abundant number, since it is smaller than the sum of its proper divisors (364252269158736).

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

221541216230064 is a wasteful number, since it uses less digits than its factorization.

221541216230064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218710738 (or 218710732 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 221541216230064 its reverse (460032612145122), we get a palindrome (681573828375186).

The spelling of 221541216230064 in words is "two hundred twenty-one trillion, five hundred forty-one billion, two hundred sixteen million, two hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 449 564 752 898 1128 1347 1796 2256 2694 3592 5388 7184 10776 21103 21552 42206 63309 84412 126618 168824 253236 337648 506472 1012944 218710231 437420462 656130693 874840924 1312261386 1749681848 2624522772 3499363696 5249045544 10279380857 10498091088 20558761714 30838142571 41117523428 61676285142 82235046856 98200893719 123352570284 164470093712 196401787438 246705140568 294602681157 392803574876 493410281136 589205362314 785607149752 1178410724628 1571214299504 2356821449256 4615442004793 4713642898512 9230884009586 13846326014379 18461768019172 27692652028758 36923536038344 55385304057516 73847072076688 110770608115032 221541216230064