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426221400 = 233521164579
BaseRepresentation
bin11001011001111…
…001111101011000
31002201000021211210
4121121321331120
51333103041100
6110143223120
713363551663
oct3131717530
91081007753
10426221400
111a96554a0
12ba8a7aa0
136a3c2717
144086c6da
1527642c50
hex19679f58

426221400 has 96 divisors (see below), whose sum is σ = 1441425600. Its totient is φ = 103324800.

The previous prime is 426221321. The next prime is 426221429. The reversal of 426221400 is 4122624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25690 + ... + 38889.

It is an arithmetic number, because the mean of its divisors is an integer number (15014850).

Almost surely, 2426221400 is an apocalyptic number.

426221400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426221400 is an abundant number, since it is smaller than the sum of its proper divisors (1015204200).

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

426221400 is a wasteful number, since it uses less digits than its factorization.

426221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64609 (or 64600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 426221400 is about 20645.1301763878. The cubic root of 426221400 is about 752.5668494675.

The spelling of 426221400 in words is "four hundred twenty-six million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 64579 129158 193737 258316 322895 387474 516632 645790 710369 774948 968685 1291580 1420738 1549896 1614475 1937370 2131107 2583160 2841476 3228950 3551845 3874740 4262214 4843425 5682952 6457900 7103690 7749480 8524428 9686850 10655535 12915800 14207380 17048856 17759225 19373700 21311070 28414760 35518450 38747400 42622140 53277675 71036900 85244280 106555350 142073800 213110700 426221400