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13342022232 = 2337311147341
BaseRepresentation
bin11000110110011111…
…10001101001011000
31021102211100221202120
430123033301221120
5204311024202412
610043525501240
7651425214000
oct143317615130
937384327676
1013342022232
115727250860
122704271820
1313481c3916
14907d5b000
155314b1b8c
hex31b3f1a58

13342022232 has 128 divisors (see below), whose sum is σ = 42434496000. Its totient is φ = 3465436800.

The previous prime is 13342022231. The next prime is 13342022299. The reversal of 13342022232 is 23222024331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342022231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16882 + ... + 164222.

It is an arithmetic number, because the mean of its divisors is an integer number (331519500).

Almost surely, 213342022232 is an apocalyptic number.

13342022232 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 13342022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217248000).

13342022232 is an abundant number, since it is smaller than the sum of its proper divisors (29092473768).

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

13342022232 is a wasteful number, since it uses less digits than its factorization.

13342022232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147382 (or 147364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13342022232 its reverse (23222024331), we get a palindrome (36564046563).

The spelling of 13342022232 in words is "thirteen billion, three hundred forty-two million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7546 8232 11319 12936 15092 22638 30184 45276 90552 147341 294682 442023 589364 884046 1031387 1178728 1620751 1768092 2062774 3094161 3241502 3536184 4125548 4862253 6188322 6483004 7219709 8251096 9724506 11345257 12376644 12966008 14439418 19449012 21659127 22690514 24753288 28878836 34035771 38898024 43318254 45381028 50537963 57757672 68071542 79416799 86636508 90762056 101075926 136143084 151613889 158833598 173273016 202151852 238250397 272286168 303227778 317667196 404303704 476500794 555917593 606455556 635334392 953001588 1111835186 1212911112 1667752779 1906003176 2223670372 3335505558 4447340744 6671011116 13342022232