Search a number
-
+
202222002020010 = 235717313587308303
BaseRepresentation
bin101101111110101101111010…
…100110001001111010101010
3222112000020100000110000102220
4231332231322212021322222
5203001201130004120020
61554031301044134510
760411025504000530
oct5576557246117252
9875006300400386
10202222002020010
1159485962250645
121a81bb8b397436
1388ab5b722096b
1437d1850700150
15185a3d1dbd240
hexb7eb7a989eaa

202222002020010 has 256 divisors, whose sum is σ = 590175425839104. Its totient is φ = 43290217930752.

The previous prime is 202222002019991. The next prime is 202222002020011. The reversal of 202222002020010 is 10020200222202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (202222002020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 655765519 + ... + 656073821.

It is an arithmetic number, because the mean of its divisors is an integer number (2305372757184).

Almost surely, 2202222002020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202222002020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295087712919552).

202222002020010 is an abundant number, since it is smaller than the sum of its proper divisors (387953423819094).

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

202222002020010 is a wasteful number, since it uses less digits than its factorization.

202222002020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309237.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202222002020010 its reverse (10020200222202), we get a palindrome (212242202242212).

The spelling of 202222002020010 in words is "two hundred two trillion, two hundred twenty-two billion, two million, twenty thousand, ten".