Search a number
-
+
222202202222000 = 245371113237167967
BaseRepresentation
bin110010100001011101111011…
…010101001110110110110000
31002010202022201112002120100102
4302201131323111032312300
5213111030102232101000
62104330141004011532
764542402466354010
oct6241357325166660
91063668645076312
10222202202222000
116488947439a350
1220b08337b30ba8
1396ca768454c90
143cc29030abc40
151aa4ec88823d5
hexca177b54edb0

222202202222000 has 1280 divisors, whose sum is σ = 763367717339136. Its totient is φ = 60288560640000.

The previous prime is 222202202221997. The next prime is 222202202222009. The reversal of 222202202222000 is 222202202222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (222202202222009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3269232017 + ... + 3269299983.

Almost surely, 2222202202222000 is an apocalyptic number.

222202202222000 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 222202202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381683858669568).

222202202222000 is an abundant number, since it is smaller than the sum of its proper divisors (541165515117136).

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

222202202222000 is a wasteful number, since it uses less digits than its factorization.

222202202222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68115 (or 68099 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 222202202222000 its reverse (222202202222), we get a palindrome (222424404424222).

222202202222000 divided by its reverse (222202202222) gives a cube (1000 = 103).

It can be divided in two parts, 222202 and 202222000, that added together give a palindrome (202444202).

The spelling of 222202202222000 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred two million, two hundred twenty-two thousand".