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422512720 = 24576711261
BaseRepresentation
bin11001001011110…
…000100001010000
31002110000212111021
4121023300201100
51331130401340
6105531525224
713320204340
oct3113604120
91073025437
10422512720
111a7552073
12b95b9814
13696c4636
1440184d20
152715de4a
hex192f0850

422512720 has 80 divisors (see below), whose sum is σ = 1139534208. Its totient is φ = 142686720.

The previous prime is 422512703. The next prime is 422512723. The reversal of 422512720 is 27215224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422512723) 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 15 ways as a sum of consecutive naturals, for example, 31890 + ... + 43150.

Almost surely, 2422512720 is an apocalyptic number.

422512720 is a gapful number since it is divisible by the number (40) 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 422512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569767104).

422512720 is an abundant number, since it is smaller than the sum of its proper divisors (717021488).

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

422512720 is a wasteful number, since it uses less digits than its factorization.

422512720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 422512720 is about 20555.1142054721. The cubic root of 422512720 is about 750.3777178885.

Adding to 422512720 its reverse (27215224), we get a palindrome (449727944).

The spelling of 422512720 in words is "four hundred twenty-two million, five hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 11261 18760 22522 37520 45044 56305 78827 90088 112610 157654 180176 225220 315308 394135 450440 630616 754487 788270 900880 1261232 1508974 1576540 3017948 3153080 3772435 5281409 6035896 6306160 7544870 10562818 12071792 15089740 21125636 26407045 30179480 42251272 52814090 60358960 84502544 105628180 211256360 422512720