Search a number
-
+
22225144242 = 2371761950287
BaseRepresentation
bin10100101100101110…
…001100100110110010
32010100220112022022110
4110230232030212302
5331004114103432
614113213550150
71414521415620
oct245456144662
963326468273
1022225144242
119475572904
1243831a5356
1321326a1032
14110ba2a510
158a12a2dcc
hex52cb8c9b2

22225144242 has 64 divisors (see below), whose sum is σ = 53876551680. Its totient is φ = 5966735616.

The previous prime is 22225144219. The next prime is 22225144289. The reversal of 22225144242 is 24244152222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416823 + ... + 467109.

It is an arithmetic number, because the mean of its divisors is an integer number (841821120).

Almost surely, 222225144242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22225144242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938275840).

22225144242 is an abundant number, since it is smaller than the sum of its proper divisors (31651407438).

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

22225144242 is a wasteful number, since it uses less digits than its factorization.

22225144242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50935.

The product of its digits is 20480, while the sum is 30.

Adding to 22225144242 its reverse (24244152222), we get a palindrome (46469296464).

The spelling of 22225144242 in words is "twenty-two billion, two hundred twenty-five million, one hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 619 714 1238 1857 3714 4333 8666 10523 12999 21046 25998 31569 50287 63138 73661 100574 147322 150861 220983 301722 352009 441966 704018 854879 1056027 1709758 2112054 2564637 5129274 5984153 11968306 17952459 31127653 35904918 62255306 93382959 186765918 217893571 435787142 529170101 653680713 1058340202 1307361426 1587510303 3175020606 3704190707 7408381414 11112572121 22225144242