Search a number
-
+
222112002112 = 267111328312251
BaseRepresentation
bin1100111011011011101…
…0000011000001000000
3210020022100220202222121
43032312322003001000
512114341133031422
6250011543014024
722022066603320
oct3166672030100
9706270822877
10222112002112
1186219486710
1237068a3a314
1317c394278b0
14aa70a99280
155b9e8288c7
hex33b6e83040

222112002112 has 224 divisors, whose sum is σ = 593920502784. Its totient is φ = 79591680000.

The previous prime is 222112002043. The next prime is 222112002131. The reversal of 222112002112 is 211200211222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18123987 + ... + 18136237.

It is an arithmetic number, because the mean of its divisors is an integer number (2651430816).

Almost surely, 2222112002112 is an apocalyptic number.

222112002112 is a gapful number since it is divisible by the number (22) 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 222112002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296960251392).

222112002112 is an abundant number, since it is smaller than the sum of its proper divisors (371808500672).

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

222112002112 is a wasteful number, since it uses less digits than its factorization.

222112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577 (or 12567 counting only the distinct ones).

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

Adding to 222112002112 its reverse (211200211222), we get a palindrome (433312213334).

It can be divided in two parts, 22 and 2112002112, that multiplied together give a palindrome (46464046464).

The spelling of 222112002112 in words is "two hundred twenty-two billion, one hundred twelve million, two thousand, one hundred twelve".