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200213923384224 = 25341391489373207
BaseRepresentation
bin101101100001011111101111…
…110010000100101110100000
3222020220021010120012221120000
4231201133233302010232200
5202220301103341243344
61545453001234020000
760112656444140451
oct5541375762045640
9866807116187500
10200213923384224
1158881280203162
121a556971a17600
138794127073039
143762596d57128
151823054a60a69
hexb617efc84ba0

200213923384224 has 240 divisors, whose sum is σ = 593459612222400. Its totient is φ = 66213169514496.

The previous prime is 200213923384219. The next prime is 200213923384231. The reversal of 200213923384224 is 422483329312002.

200213923384224 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 3 + 92 + 338 + 4 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 200213923384224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 536282229 + ... + 536655435.

It is an arithmetic number, because the mean of its divisors is an integer number (2472748384260).

Almost surely, 2200213923384224 is an apocalyptic number.

200213923384224 is a gapful number since it is divisible by the number (24) 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 200213923384224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296729806111200).

200213923384224 is an abundant number, since it is smaller than the sum of its proper divisors (393245688838176).

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

200213923384224 is a wasteful number, since it uses less digits than its factorization.

200213923384224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374857 (or 374840 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 200213923384224 in words is "two hundred trillion, two hundred thirteen billion, nine hundred twenty-three million, three hundred eighty-four thousand, two hundred twenty-four".