Search a number
-
+
22020220222000 = 24537111341268271
BaseRepresentation
bin1010000000110111110110…
…11001110111101000110000
32212222010001000020001122221
411000123323121313220300
510341234402334101000
6114455541032410424
74431623404413340
oct500337331675060
985863030201587
1022020220222000
11701a7a52819a0
1225777bb246a14
13c39661a3a4c0
14561ada35ad20
15282be30d061a
hex1406fb677a30

22020220222000 has 640 divisors, whose sum is σ = 73233568751616. Its totient is φ = 6180940800000.

The previous prime is 22020220221917. The next prime is 22020220222009. The reversal of 22020220222000 is 22202202022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22020220222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81947865 + ... + 82216135.

Almost surely, 222020220222000 is an apocalyptic number.

22020220222000 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 22020220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36616784375808).

22020220222000 is an abundant number, since it is smaller than the sum of its proper divisors (51213348529616).

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

22020220222000 is a wasteful number, since it uses less digits than its factorization.

22020220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268366 (or 268350 counting only the distinct ones).

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

Adding to 22020220222000 its reverse (22202202022), we get a palindrome (22042422424022).

The spelling of 22020220222000 in words is "twenty-two trillion, twenty billion, two hundred twenty million, two hundred twenty-two thousand".