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13223444160 = 263516678263
BaseRepresentation
bin11000101000010110…
…11011111011000000
31021010120020120020010
430110023123323000
5204040200203120
610024052144520
7645455264223
oct142413337300
937116216203
1013223444160
115676320353
122690608140
131329776c94
148d62d15ba
15525d8c7e0
hex3142dbec0

13223444160 has 112 divisors (see below), whose sum is σ = 42014704896. Its totient is φ = 3523709952.

The previous prime is 13223444149. The next prime is 13223444167. The reversal of 13223444160 is 6144432231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13223444167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596189 + ... + 1604451.

Almost surely, 213223444160 is an apocalyptic number.

13223444160 is a gapful number since it is divisible by the number (10) 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 13223444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007352448).

13223444160 is an abundant number, since it is smaller than the sum of its proper divisors (28791260736).

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

13223444160 is a wasteful number, since it uses less digits than its factorization.

13223444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13223444160 its reverse (6144432231), we get a palindrome (19367876391).

The spelling of 13223444160 in words is "thirteen billion, two hundred twenty-three million, four hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1667 3334 5001 6668 8263 8335 10002 13336 16526 16670 20004 24789 25005 26672 33052 33340 40008 41315 49578 50010 53344 66104 66680 80016 82630 99156 100020 106688 123945 132208 133360 160032 165260 198312 200040 247890 264416 266720 320064 330520 396624 400080 495780 528832 533440 661040 793248 800160 991560 1322080 1586496 1600320 1983120 2644160 3966240 7932480 13774421 27548842 41323263 55097684 68872105 82646526 110195368 137744210 165293052 206616315 220390736 275488420 330586104 413232630 440781472 550976840 661172208 826465260 881562944 1101953680 1322344416 1652930520 2203907360 2644688832 3305861040 4407814720 6611722080 13223444160