Search a number
-
+
202200220200220 = 2251173101137909901
BaseRepresentation
bin101101111110011001101000…
…010011000110110100011100
3222111221011010000002220221121
4231332121220103012310130
5203000322022332401340
61554013255424140324
760406324644405664
oct5576315023066434
9874834100086847
10202200220200220
11594776a4a54a90
121a8179107676a4
1388a952564ccb8
1437d07859151a4
151859a599da94a
hexb7e6684c6d1c

202200220200220 has 192 divisors, whose sum is σ = 477678983467392. Its totient is φ = 71277926400000.

The previous prime is 202200220200211. The next prime is 202200220200247. The reversal of 202200220200220 is 22002022002202.

It is a happy number.

It is a super-2 number, since 2×2022002202002202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202200220200194 and 202200220200203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221767270 + ... + 222677170.

It is an arithmetic number, because the mean of its divisors is an integer number (2487911372226).

Almost surely, 2202200220200220 is an apocalyptic number.

202200220200220 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 202200220200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238839491733696).

202200220200220 is an abundant number, since it is smaller than the sum of its proper divisors (275478763267172).

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

202200220200220 is a wasteful number, since it uses less digits than its factorization.

202200220200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910232 (or 910230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202200220200220 its reverse (22002022002202), we get a palindrome (224202242202422).

It can be divided in two parts, 2022002 and 20200220, that added together give a palindrome (22222222).

The spelling of 202200220200220 in words is "two hundred two trillion, two hundred billion, two hundred twenty million, two hundred thousand, two hundred twenty".