Search a number
-
+
222227214066 = 2331121311512273
BaseRepresentation
bin1100111011110111000…
…1100010111011110010
3210020121101201011002000
43032331301202323302
512120110131322231
6250031220234430
722024666103244
oct3167561427362
9706541634060
10222227214066
1186278518100
123709b53ba16
1317c57266350
14aa820ca094
155ba99d56e6
hex33bdc62ef2

222227214066 has 192 divisors, whose sum is σ = 585334149120. Its totient is φ = 62080128000.

The previous prime is 222227214043. The next prime is 222227214113. The reversal of 222227214066 is 660412722222.

222227214066 is a `hidden beast` number, since 2 + 2 + 2 + 227 + 21 + 406 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 222227214066.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 97767106 + ... + 97769378.

It is an arithmetic number, because the mean of its divisors is an integer number (3048615360).

Almost surely, 2222227214066 is an apocalyptic number.

222227214066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222227214066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292667074560).

222227214066 is an abundant number, since it is smaller than the sum of its proper divisors (363106935054).

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

222227214066 is a wasteful number, since it uses less digits than its factorization.

222227214066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 222227214066 its reverse (660412722222), we get a palindrome (882639936288).

The spelling of 222227214066 in words is "two hundred twenty-two billion, two hundred twenty-seven million, two hundred fourteen thousand, sixty-six".