Search a number
-
+
202211210020200 = 233524173019112573
BaseRepresentation
bin101101111110100011110111…
…010101111100010101101000
3222111222012110220101121211020
4231332203313111330111220
5203001012024231121300
61554022314130132440
760410164201342323
oct5576436725742550
9874865426347736
10202211210020200
115948132446a437
121a819a79121120
1388aa587421b64
1437d11092d57ba
151859e9e7188a0
hexb7e8f757c568

202211210020200 has 192 divisors, whose sum is σ = 642158389857600. Its totient is φ = 52606606694400.

The previous prime is 202211210020189. The next prime is 202211210020201. The reversal of 202211210020200 is 2020012112202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202211210020200.

It is not an unprimeable number, because it can be changed into a prime (202211210020201) 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 47 ways as a sum of consecutive naturals, for example, 1796211114 + ... + 1796323686.

It is an arithmetic number, because the mean of its divisors is an integer number (3344574947175).

Almost surely, 2202211210020200 is an apocalyptic number.

202211210020200 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 202211210020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321079194928800).

202211210020200 is an abundant number, since it is smaller than the sum of its proper divisors (439947179837400).

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

202211210020200 is a wasteful number, since it uses less digits than its factorization.

202211210020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185652 (or 185643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202211210020200 its reverse (2020012112202), we get a palindrome (204231222132402).

The spelling of 202211210020200 in words is "two hundred two trillion, two hundred eleven billion, two hundred ten million, twenty thousand, two hundred".