Search a number
-
+
222145644 = 223719181769
BaseRepresentation
bin11010011110110…
…10110001101100
3120111000011112110
431033122301230
5423332130034
634013204020
75335130640
oct1517326154
9514004473
10222145644
11104439346
1262490610
133703c236
1421708c20
1514780de9
hexd3dac6c

222145644 has 96 divisors (see below), whose sum is σ = 627827200. Its totient is φ = 59719680.

The previous prime is 222145639. The next prime is 222145711. The reversal of 222145644 is 446541222.

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, 288492 + ... + 289260.

Almost surely, 2222145644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222145644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313913600).

222145644 is an abundant number, since it is smaller than the sum of its proper divisors (405681556).

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

222145644 is a wasteful number, since it uses less digits than its factorization.

222145644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 222145644 is about 14904.5511170246. The cubic root of 222145644 is about 605.6372803516.

Adding to 222145644 its reverse (446541222), we get a palindrome (668686866).

The spelling of 222145644 in words is "two hundred twenty-two million, one hundred forty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 181 228 266 362 399 532 543 724 769 798 1086 1267 1538 1596 2172 2307 2534 3076 3439 3801 4614 5068 5383 6878 7602 9228 10317 10766 13756 14611 15204 16149 20634 21532 24073 29222 32298 41268 43833 48146 58444 64596 72219 87666 96292 102277 139189 144438 175332 204554 278378 288876 306831 409108 417567 556756 613662 835134 974323 1227324 1670268 1948646 2644591 2922969 3897292 5289182 5845938 7933773 10578364 11691876 15867546 18512137 31735092 37024274 55536411 74048548 111072822 222145644