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223045651136 = 26721153121997
BaseRepresentation
bin1100111110111010001…
…1101000101011000000
3210022201102202001200002
43033232203220223000
512123244141314021
6250244334215132
722054164516200
oct3175643505300
9708642661602
10223045651136
1186658500a80
12372896544a8
13180579a3139
14ab1ca94400
155c067a050b
hex33ee8e8ac0

223045651136 has 168 divisors, whose sum is σ = 572277002256. Its totient is φ = 85260564480.

The previous prime is 223045651133. The next prime is 223045651151. The reversal of 223045651136 is 631156540322.

223045651136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 223045651136.

It is not an unprimeable number, because it can be changed into a prime (223045651133) 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 23 ways as a sum of consecutive naturals, for example, 1767290 + ... + 1889286.

Almost surely, 2223045651136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223045651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286138501128).

223045651136 is an abundant number, since it is smaller than the sum of its proper divisors (349231351120).

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

223045651136 is a wasteful number, since it uses less digits than its factorization.

223045651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122087 (or 122070 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 223045651136 in words is "two hundred twenty-three billion, forty-five million, six hundred fifty-one thousand, one hundred thirty-six".