Search a number
-
+
221303222113104 = 243210714362877863
BaseRepresentation
bin110010010100011000101011…
…111100010001001101010000
31002000120101022001102022200200
4302110120223330101031100
5213001312444330104404
62102401144032215200
764420426101460635
oct6224305374211520
91060511261368620
10221303222113104
116457219557986a
12209a206939a500
139663a5c07ba41
143c911c133018c
151a8b910b65839
hexc9462bf11350

221303222113104 has 60 divisors (see below), whose sum is σ = 625129896152736. Its totient is φ = 73078322561856.

The previous prime is 221303222113097. The next prime is 221303222113187. The reversal of 221303222113104 is 401311222303122.

221303222113104 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 322 + 21 + 1 + 310 + 4 = 666.

It is a super-2 number, since 2×2213032221131042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7181423524 + ... + 7181454339.

Almost surely, 2221303222113104 is an apocalyptic number.

221303222113104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221303222113104 is an abundant number, since it is smaller than the sum of its proper divisors (403826674039632).

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

221303222113104 is a wasteful number, since it uses less digits than its factorization.

221303222113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14362877984 (or 14362877975 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221303222113104 its reverse (401311222303122), we get a palindrome (622614444416226).

The spelling of 221303222113104 in words is "two hundred twenty-one trillion, three hundred three billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 14362877863 28725755726 43088633589 57451511452 86177267178 114903022904 129265900767 172354534356 229806045808 258531801534 344709068712 517063603068 689418137424 1034127206136 1536827931341 2068254412272 3073655862682 4610483794023 6147311725364 9220967588046 12294623450728 13831451382069 18441935176092 24589246901456 27662902764138 36883870352184 55325805528276 73767740704368 110651611056552 221303222113104