Search a number
-
+
200221012222000 = 24537119831322621
BaseRepresentation
bin101101100001100110010110…
…010011110110000000110000
3222020220221102121010012212021
4231201212112103312000300
5202220410113112101000
61545500132504241224
760113330222232130
oct5541462623660060
9866827377105767
10200221012222000
1158884288714980
121a55820ba70214
1387949b68b1bc3
143762a6a5daac0
15182331c07711a
hexb619964f6030

200221012222000 has 320 divisors, whose sum is σ = 604210636044288. Its totient is φ = 62343016320000.

The previous prime is 200221012221973. The next prime is 200221012222003. The reversal of 200221012222000 is 222210122002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200221012222003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150720690 + ... + 152043310.

Almost surely, 2200221012222000 is an apocalyptic number.

200221012222000 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 200221012222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302105318022144).

200221012222000 is an abundant number, since it is smaller than the sum of its proper divisors (403989623822288).

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

200221012222000 is a wasteful number, since it uses less digits than its factorization.

200221012222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323645 (or 1323629 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200221012222000 its reverse (222210122002), we get a palindrome (200443222344002).

The spelling of 200221012222000 in words is "two hundred trillion, two hundred twenty-one billion, twelve million, two hundred twenty-two thousand".