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223008008832 = 27327233173793
BaseRepresentation
bin1100111110110001010…
…0000010101010000000
3210022121210220122010200
43033230110002222000
512123210022240312
6250240511325200
722053226540650
oct3175424025200
9708553818120
10223008008832
1186639230834
1237278b20800
131804cc5379b
14ab17a96360
155c033170dc
hex33ec502a80

223008008832 has 384 divisors, whose sum is σ = 767908028160. Its totient is φ = 60738011136.

The previous prime is 223008008813. The next prime is 223008008849. The reversal of 223008008832 is 238800800322.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58792728 + ... + 58796520.

It is an arithmetic number, because the mean of its divisors is an integer number (1999760490).

Almost surely, 2223008008832 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 223008008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383954014080).

223008008832 is an abundant number, since it is smaller than the sum of its proper divisors (544900019328).

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

223008008832 is a wasteful number, since it uses less digits than its factorization.

223008008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 223008008832 in words is "two hundred twenty-three billion, eight million, eight thousand, eight hundred thirty-two".