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222150615066 = 236187381349
BaseRepresentation
bin1100111011100100110…
…1010110000000011010
3210020102001120112000000
43032321031112000122
512114431024140231
6250015442353430
722023046033452
oct3167115260032
9706361515000
10222150615066
118623925a146
123707995b876
1317c44426cb3
14aa75c6ad62
155ba2e046e6
hex33b935601a

222150615066 has 56 divisors (see below), whose sum is σ = 499883222100. Its totient is φ = 74009759616.

The previous prime is 222150615061. The next prime is 222150615079. The reversal of 222150615066 is 660516051222.

222150615066 is a `hidden beast` number, since 2 + 22 + 15 + 0 + 615 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138328205625 + 83822409441 = 371925^2 + 289521^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222150615066.

It is not an unprimeable number, because it can be changed into a prime (222150615061) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2690160 + ... + 2771508.

Almost surely, 2222150615066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222150615066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249941611050).

222150615066 is an abundant number, since it is smaller than the sum of its proper divisors (277732607034).

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

222150615066 is an equidigital number, since it uses as much as digits as its factorization.

222150615066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83242 (or 83227 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 222150615066 its reverse (660516051222), we get a palindrome (882666666288).

The spelling of 222150615066 in words is "two hundred twenty-two billion, one hundred fifty million, six hundred fifteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1873 3746 5619 11238 16857 33714 50571 81349 101142 151713 162698 244047 303426 455139 488094 732141 910278 1365417 1464282 2196423 2730834 4392846 6589269 13178538 19767807 39535614 59303421 118606842 152366677 304733354 457100031 914200062 1371300093 2742600186 4113900279 8227800558 12341700837 24683401674 37025102511 74050205022 111075307533 222150615066