Search a number
-
+
22312013352 = 2335318196911
BaseRepresentation
bin10100110001111001…
…100100111000101000
32010120221222201022220
4110301321210320220
5331143333411402
614125555514040
71416624661416
oct246171447050
963527881286
1022312013352
11950a605962
1243a82b8920
132147697b85
1411193a02b6
158a8c11dbc
hex531e64e28

22312013352 has 64 divisors (see below), whose sum is σ = 57147068160. Its totient is φ = 7256620800.

The previous prime is 22312013287. The next prime is 22312013363. The reversal of 22312013352 is 25331021322.

It is a happy number.

It is a super-3 number, since 3×223120133523 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181777 + ... + 278687.

It is an arithmetic number, because the mean of its divisors is an integer number (892922940).

Almost surely, 222312013352 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 22312013352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573534080).

22312013352 is an abundant number, since it is smaller than the sum of its proper divisors (34835054808).

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

22312013352 is a wasteful number, since it uses less digits than its factorization.

22312013352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97154 (or 97150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 22312013352 its reverse (25331021322), we get a palindrome (47643034674).

The spelling of 22312013352 in words is "twenty-two billion, three hundred twelve million, thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 181 212 318 362 424 543 636 724 1086 1272 1448 2172 4344 9593 19186 28779 38372 57558 76744 96911 115116 193822 230232 290733 387644 581466 775288 1162932 2325864 5136283 10272566 15408849 17540891 20545132 30817698 35081782 41090264 52622673 61635396 70163564 105245346 123270792 140327128 210490692 420981384 929667223 1859334446 2789001669 3718668892 5578003338 7437337784 11156006676 22312013352