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223063240400 = 2452711133117971
BaseRepresentation
bin1100111110111110011…
…0101110111011010000
3210022202122211200121022
43033233212232323100
512123313142143100
6250250203215012
722054500154640
oct3175746567320
9708678750538
10223063240400
1186667425060
1237293517468
131805b5211a0
14ab21152520
155c080c6e85
hex33ef9aeed0

223063240400 has 480 divisors, whose sum is σ = 742795124736. Its totient is φ = 62104320000.

The previous prime is 223063240397. The next prime is 223063240429. The reversal of 223063240400 is 4042360322.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 223063240400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12403415 + ... + 12421385.

Almost surely, 2223063240400 is an apocalyptic number.

223063240400 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 223063240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371397562368).

223063240400 is an abundant number, since it is smaller than the sum of its proper divisors (519731884336).

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

223063240400 is a wasteful number, since it uses less digits than its factorization.

223063240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18051 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The spelling of 223063240400 in words is "two hundred twenty-three billion, sixty-three million, two hundred forty thousand, four hundred".