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223253830080 = 263251743310531
BaseRepresentation
bin1100111111101011110…
…1110001100111000000
3210100020221110122111100
43033322331301213000
512124210440030310
6250321132214400
722062303146661
oct3177275614700
9710227418440
10223253830080
1186754a6a996
123732730a400
131808bb62148
14ab3c5a5368
155c19bc2ec0
hex33faf719c0

223253830080 has 336 divisors, whose sum is σ = 815025897504. Its totient is φ = 55897620480.

The previous prime is 223253830073. The next prime is 223253830127. The reversal of 223253830080 is 80038352322.

It is a happy number.

223253830080 is a `hidden beast` number, since 2 + 23 + 253 + 8 + 300 + 80 = 666.

It is a super-3 number, since 3×2232538300803 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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, 21194415 + ... + 21204945.

It is an arithmetic number, because the mean of its divisors is an integer number (2425672314).

Almost surely, 2223253830080 is an apocalyptic number.

223253830080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223253830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407512948752).

223253830080 is an abundant number, since it is smaller than the sum of its proper divisors (591772067424).

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

223253830080 is a wasteful number, since it uses less digits than its factorization.

223253830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11004 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 223253830080 in words is "two hundred twenty-three billion, two hundred fifty-three million, eight hundred thirty thousand, eighty".