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14764222000 = 2453114315607
BaseRepresentation
bin11011100000000010…
…00010011000110000
31102002221111012002001
431300001002120300
5220214120101000
610441012303344
71031604550003
oct156001023060
942087435061
1014764222000
116297022570
122a40611b54
131513a45b48
14a00bab53a
155b628e46a
hex370042630

14764222000 has 160 divisors (see below), whose sum is σ = 39853592064. Its totient is φ = 5243616000.

The previous prime is 14764221977. The next prime is 14764222003. The reversal of 14764222000 is 22246741.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14764222000.

It is not an unprimeable number, because it can be changed into a prime (14764222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938197 + ... + 953803.

Almost surely, 214764222000 is an apocalyptic number.

14764222000 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 14764222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926796032).

14764222000 is an abundant number, since it is smaller than the sum of its proper divisors (25089370064).

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

14764222000 is a wasteful number, since it uses less digits than its factorization.

14764222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 14764222000 its reverse (22246741), we get a palindrome (14786468741).

The spelling of 14764222000 in words is "fourteen billion, seven hundred sixty-four million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 125 172 176 200 215 220 250 275 344 400 430 440 473 500 550 688 860 880 946 1000 1075 1100 1375 1720 1892 2000 2150 2200 2365 2750 3440 3784 4300 4400 4730 5375 5500 7568 8600 9460 10750 11000 11825 15607 17200 18920 21500 22000 23650 31214 37840 43000 47300 59125 62428 78035 86000 94600 118250 124856 156070 171677 189200 236500 249712 312140 343354 390175 473000 624280 671101 686708 780350 858385 946000 1248560 1342202 1373416 1560700 1716770 1950875 2684404 2746832 3121400 3355505 3433540 3901750 4291925 5368808 6242800 6711010 6867080 7382111 7803500 8583850 10737616 13422020 13734160 14764222 15607000 16777525 17167700 21459625 26844040 29528444 31214000 33555050 34335400 36910555 42919250 53688080 59056888 67110100 68670800 73821110 83887625 85838500 118113776 134220200 147642220 167775250 171677000 184552775 268440400 295284440 335550500 343354000 369105550 590568880 671101000 738211100 922763875 1342202000 1476422200 1845527750 2952844400 3691055500 7382111000 14764222000