Search a number
-
+
22220320210000 = 245411228376473
BaseRepresentation
bin1010000110101100100100…
…10010101111110001010000
32220200020112022122122220121
411003112102102233301100
510403024203433210000
6115131512453520024
74452236151302503
oct503262222576120
986606468578817
1022220320210000
117097648526600
1225aa544343014
13c524a0997873
1456b67d82913a
15288005205b1a
hex1435924afc50

22220320210000 has 300 divisors, whose sum is σ = 59162900152356. Its totient is φ = 8076020480000.

The previous prime is 22220320209907. The next prime is 22220320210057. The reversal of 22220320210000 is 1202302222.

It can be written as a sum of positive squares in 10 ways, for example, as 22199249945664 + 21070264336 = 4711608^2 + 145156^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3432766764 + ... + 3432773236.

Almost surely, 222220320210000 is an apocalyptic number.

22220320210000 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 22220320210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581450076178).

22220320210000 is an abundant number, since it is smaller than the sum of its proper divisors (36942579942356).

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

22220320210000 is a wasteful number, since it uses less digits than its factorization.

22220320210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22220320210000 its reverse (1202302222), we get a palindrome (22221522512222).

The spelling of 22220320210000 in words is "twenty-two trillion, two hundred twenty billion, three hundred twenty million, two hundred ten thousand".