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222023012323032 = 233214232167008397
BaseRepresentation
bin110010011110110111000010…
…110010000000111011011000
31002010010012012110200112210200
4302132313002302000323120
5213100111112123314112
62104111544102342200
764523430135350334
oct6236670262007330
91063105173615720
10222023012323032
116481a481368058
1220a9966972a960
1396b68ac5bc16b
143cb7d84b0a7c4
151aa04dc348cdc
hexc9edc2c80ed8

222023012323032 has 48 divisors (see below), whose sum is σ = 601734891956640. Its totient is φ = 73955662538688.

The previous prime is 222023012322983. The next prime is 222023012323081. The reversal of 222023012323032 is 230323210320222.

222023012323032 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 2 + 301 + 2 + 323 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (222023012322983) and next prime (222023012323081).

It is a super-3 number, since 3×2220230123230323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222023012322987 and 222023012323005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083401743 + ... + 1083606654.

It is an arithmetic number, because the mean of its divisors is an integer number (12536143582430).

Almost surely, 2222023012323032 is an apocalyptic number.

It is an amenable number.

222023012323032 is an abundant number, since it is smaller than the sum of its proper divisors (379711879633608).

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

222023012323032 is a wasteful number, since it uses less digits than its factorization.

222023012323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167009832 (or 2167009825 counting only the distinct ones).

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

Adding to 222023012323032 its reverse (230323210320222), we get a palindrome (452346222643254).

The spelling of 222023012323032 in words is "two hundred twenty-two trillion, twenty-three billion, twelve million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1423 2846 4269 5692 8538 11384 12807 17076 25614 34152 51228 102456 2167008397 4334016794 6501025191 8668033588 13002050382 17336067176 19503075573 26004100764 39006151146 52008201528 78012302292 156024604584 3083652948931 6167305897862 9250958846793 12334611795724 18501917693586 24669223591448 27752876540379 37003835387172 55505753080758 74007670774344 111011506161516 222023012323032