Search a number
-
+
222201212110020 = 22325111336232382701
BaseRepresentation
bin110010100001011101000000…
…010100010000010011000100
31002010202020011112000200001100
4302201131000110100103010
5213111021040300010040
62104325454434300100
764542336114505113
oct6241350024202304
91063666145020040
10222201212110020
116488900650a590
1220b08100427630
1396ca63b29a6c0
143cc284b7b5c7a
151aa4e6b9a5b30
hexca17405104c4

222201212110020 has 288 divisors, whose sum is σ = 792063212338944. Its totient is φ = 49709602944000.

The previous prime is 222201212110001. The next prime is 222201212110051. The reversal of 222201212110020 is 20011212102222.

It is a happy number.

222201212110020 is a `hidden beast` number, since 222 + 201 + 2 + 121 + 100 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222201212109975 and 222201212110002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92064670 + ... + 94447370.

It is an arithmetic number, because the mean of its divisors is an integer number (2750219487288).

Almost surely, 2222201212110020 is an apocalyptic number.

222201212110020 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 222201212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396031606169472).

222201212110020 is an abundant number, since it is smaller than the sum of its proper divisors (569862000228924).

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

222201212110020 is a wasteful number, since it uses less digits than its factorization.

222201212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386363 (or 2386358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222201212110020 its reverse (20011212102222), we get a palindrome (242212424212242).

The spelling of 222201212110020 in words is "two hundred twenty-two trillion, two hundred one billion, two hundred twelve million, one hundred ten thousand, twenty".