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223201032222221 = 31101269265009139
BaseRepresentation
bin110010110000000000001010…
…001111010011011000001101
31002021021210212200221211212022
4302300000022033103120031
5213223411203222102341
62110413045541215525
765004512436313664
oct6260001217233015
91067253780854768
10223201032222221
116513403193a079
1221049a321015a5
1397709c8201451
143d18db7d93ddb
151ac0e87536e4b
hexcb000a3d360d

223201032222221 has 16 divisors (see below), whose sum is σ = 233547254899200. Its totient is φ = 213067346952000.

The previous prime is 223201032222143. The next prime is 223201032222253. The reversal of 223201032222221 is 122222230102322.

It is a cyclic number.

It is not a de Polignac number, because 223201032222221 - 242 = 218802985711117 is a prime.

It is a super-3 number, since 3×2232010322222213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223201032222281) 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 15 ways as a sum of consecutive naturals, for example, 131662331 + ... + 133346808.

It is an arithmetic number, because the mean of its divisors is an integer number (14596703431200).

Almost surely, 2223201032222221 is an apocalyptic number.

It is an amenable number.

223201032222221 is a deficient number, since it is larger than the sum of its proper divisors (10346222676979).

223201032222221 is a wasteful number, since it uses less digits than its factorization.

223201032222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265009540.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 223201032222221 its reverse (122222230102322), we get a palindrome (345423262324543).

The spelling of 223201032222221 in words is "two hundred twenty-three trillion, two hundred one billion, thirty-two million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 31 101 269 3131 8339 27169 842239 265009139 8215283309 26765923039 71287458391 829743614209 2209911210121 7200033297491 223201032222221