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13220222532 = 223112341106207
BaseRepresentation
bin11000100111111110…
…01001011001000100
31021010100011212222120
430103333021121010
5204033334110112
610023455125540
7645416015556
oct142377113104
937110155876
1013220222532
11567451a950
12268b5138b0
131328bb97aa
148d5ad34d6
15525952e8c
hex313fc9644

13220222532 has 96 divisors (see below), whose sum is σ = 35971375104. Its totient is φ = 3738451200.

The previous prime is 13220222527. The next prime is 13220222551. The reversal of 13220222532 is 23522202231.

It is a happy number.

13220222532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 71373 + ... + 177579.

It is an arithmetic number, because the mean of its divisors is an integer number (374701824).

Almost surely, 213220222532 is an apocalyptic number.

13220222532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220222532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985687552).

13220222532 is an abundant number, since it is smaller than the sum of its proper divisors (22751152572).

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

13220222532 is a wasteful number, since it uses less digits than its factorization.

13220222532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106289 (or 106287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13220222532 its reverse (23522202231), we get a palindrome (36742424763).

The spelling of 13220222532 in words is "thirteen billion, two hundred twenty million, two hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 123 132 138 164 246 253 276 451 492 506 759 902 943 1012 1353 1518 1804 1886 2706 2829 3036 3772 5412 5658 10373 11316 20746 31119 41492 62238 106207 124476 212414 318621 424828 637242 1168277 1274484 2336554 2442761 3504831 4354487 4673108 4885522 7009662 7328283 8708974 9771044 13063461 14019324 14656566 17417948 26126922 26870371 29313132 47899357 52253844 53740742 80611113 95798714 100153201 107481484 143698071 161222226 191597428 200306402 287396142 300459603 322444452 400612804 574792284 600919206 1101685211 1201838412 2203370422 3305055633 4406740844 6610111266 13220222532