Search a number
-
+
202212103320 = 233451941113709
BaseRepresentation
bin1011110001010011000…
…1111101010010011000
3201022221111202011210000
42330110301331102120
511303112244301240
6232521151053000
720416001342553
oct2742461752230
9638844664700
10202212103320
1178837508167
1233234511160
13160b76ca856
149b03bcd69a
1553d7782430
hex2f14c7d498

202212103320 has 640 divisors, whose sum is σ = 740406744000. Its totient is φ = 49328455680.

The previous prime is 202212103273. The next prime is 202212103343. The reversal of 202212103320 is 23301212202.

202212103320 is a `hidden beast` number, since 20 + 221 + 2 + 103 + 320 = 666.

202212103320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202212103293 and 202212103302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 285207126 + ... + 285207834.

Almost surely, 2202212103320 is an apocalyptic number.

202212103320 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 202212103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370203372000).

202212103320 is an abundant number, since it is smaller than the sum of its proper divisors (538194640680).

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

202212103320 is a wasteful number, since it uses less digits than its factorization.

202212103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202212103320 its reverse (23301212202), we get a palindrome (225513315522).

The spelling of 202212103320 in words is "two hundred two billion, two hundred twelve million, one hundred three thousand, three hundred twenty".