Search a number
-
+
222210210001120 = 255111013473602471
BaseRepresentation
bin110010100001100101011000…
…101000011111000011100000
31002010210002101121010220012021
4302201211120220133003200
5213111143002230013440
62104333543342311224
764543105103353555
oct6241453050370340
91063702347126167
10222210210001120
11648919035a0320
1220b099b1888514
1396cb44348cb13
143cc30627dca2c
151aa52e68b784a
hexca1958a1f0e0

222210210001120 has 192 divisors, whose sum is σ = 580033497964032. Its totient is φ = 79773095680000.

The previous prime is 222210210001103. The next prime is 222210210001123. The reversal of 222210210001120 is 21100012012222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 222210210001094 and 222210210001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222210210001123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59881485 + ... + 63483955.

It is an arithmetic number, because the mean of its divisors is an integer number (3021007801896).

Almost surely, 2222210210001120 is an apocalyptic number.

222210210001120 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 222210210001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290016748982016).

222210210001120 is an abundant number, since it is smaller than the sum of its proper divisors (357823287962912).

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

222210210001120 is a wasteful number, since it uses less digits than its factorization.

222210210001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602945 (or 3602937 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222210210001120 its reverse (21100012012222), we get a palindrome (243310222013342).

The spelling of 222210210001120 in words is "two hundred twenty-two trillion, two hundred ten billion, two hundred ten million, one thousand, one hundred twenty".