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22242155152 = 2472319794363
BaseRepresentation
bin10100101101101111…
…000101101010010000
32010102002112112220011
4110231233011222100
5331022442431102
614115022324304
71415116125250
oct245557055220
963362475804
1022242155152
119484131408
124388a29694
132136078a69
14110ddb7960
158a2a132d7
hex52dbc5a90

22242155152 has 80 divisors (see below), whose sum is σ = 51429565440. Its totient is φ = 9111206016.

The previous prime is 22242155123. The next prime is 22242155167. The reversal of 22242155152 is 25155124222.

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 15 ways as a sum of consecutive naturals, for example, 5095723 + ... + 5100085.

It is an arithmetic number, because the mean of its divisors is an integer number (642869568).

Almost surely, 222242155152 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 22242155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25714782720).

22242155152 is an abundant number, since it is smaller than the sum of its proper divisors (29187410288).

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

22242155152 is a wasteful number, since it uses less digits than its factorization.

22242155152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6374 counting only the distinct ones).

The product of its digits is 16000, while the sum is 31.

Adding to 22242155152 its reverse (25155124222), we get a palindrome (47397279374).

The spelling of 22242155152 in words is "twenty-two billion, two hundred forty-two million, one hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 1979 2576 3958 4363 7916 8726 13853 15832 17452 27706 30541 31664 34904 45517 55412 61082 69808 91034 100349 110824 122164 182068 200698 221648 244328 318619 364136 401396 488656 637238 702443 728272 802792 1274476 1404886 1605584 2548952 2809772 5097904 5619544 8634377 11239088 17268754 34537508 60440639 69075016 120881278 138150032 198590671 241762556 397181342 483525112 794362684 967050224 1390134697 1588725368 2780269394 3177450736 5560538788 11121077576 22242155152