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13222322000 = 245347140663
BaseRepresentation
bin11000101000001110…
…01001111101010000
31021010111010112220122
430110013021331100
5204034403301000
610024012125412
7645442611506
oct142407117520
937114115818
1013222322000
115675724248
122690166868
131329473294
148d60bc676
15525c1a085
hex3141c9f50

13222322000 has 80 divisors (see below), whose sum is σ = 32652052992. Its totient is φ = 5176361600.

The previous prime is 13222321967. The next prime is 13222322039. The reversal of 13222322000 is 22322231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13222322000.

It is a congruent number.

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, 23669 + ... + 164331.

Almost surely, 213222322000 is an apocalyptic number.

13222322000 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 13222322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326026496).

13222322000 is an abundant number, since it is smaller than the sum of its proper divisors (19429730992).

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

13222322000 is a wasteful number, since it uses less digits than its factorization.

13222322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140733 (or 140717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13222322000 its reverse (22322231), we get a palindrome (13244644231).

The spelling of 13222322000 in words is "thirteen billion, two hundred twenty-two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 140663 281326 562652 703315 1125304 1406630 2250608 2813260 3516575 5626520 6611161 7033150 11253040 13222322 14066300 17582875 26444644 28132600 33055805 35165750 52889288 56265200 66111610 70331500 105778576 132223220 140663000 165279025 264446440 281326000 330558050 528892880 661116100 826395125 1322232200 1652790250 2644464400 3305580500 6611161000 13222322000