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223201032223032 = 23326746268870693
BaseRepresentation
bin110010110000000000001010…
…001111010011100100111000
31002021021210212200221212222100
4302300000022033103210320
5213223411203222114112
62110413045541223400
765004512436316233
oct6260001217234470
91067253780855870
10223201032223032
116513403193a746
1221049a32101b60
1397709c8201926
143d18db7d9441a
151ac0e875372dc
hexcb000a3d3938

223201032223032 has 48 divisors (see below), whose sum is σ = 613525225402440. Its totient is φ = 73289891176128.

The previous prime is 223201032223007. The next prime is 223201032223051. The reversal of 223201032223032 is 230322230102322.

223201032223032 is a `hidden beast` number, since 2 + 2 + 3 + 20 + 10 + 322 + 2 + 303 + 2 = 666.

It is a super-3 number, since 3×2232010322230323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223201032222987 and 223201032223005.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23134430523 + ... + 23134440170.

Almost surely, 2223201032223032 is an apocalyptic number.

It is an amenable number.

223201032223032 is an abundant number, since it is smaller than the sum of its proper divisors (390324193179408).

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

223201032223032 is a wasteful number, since it uses less digits than its factorization.

223201032223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46268870772 (or 46268870765 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223201032223032 its reverse (230322230102322), we get a palindrome (453523262325354).

The spelling of 223201032223032 in words is "two hundred twenty-three trillion, two hundred one billion, thirty-two million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 46268870693 92537741386 138806612079 185075482772 277613224158 370150965544 416419836237 555226448316 832839672474 1110452896632 1665679344948 3100014336431 3331358689896 6200028672862 9300043009293 12400057345724 18600086018586 24800114691448 27900129027879 37200172037172 55800258055758 74400344074344 111600516111516 223201032223032