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440223000 = 23353720963
BaseRepresentation
bin11010001111010…
…100010100011000
31010200100122102120
4122033110110120
51400144114000
6111403301240
713623555660
oct3217242430
91120318376
10440223000
11206549068
1210351a820
13702857a9
14426751a0
15289ab6a0
hex1a3d4518

440223000 has 128 divisors (see below), whose sum is σ = 1569784320. Its totient is φ = 100617600.

The previous prime is 440222999. The next prime is 440223001. The reversal of 440223000 is 322044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440222999) and next prime (440223001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10519 + ... + 31481.

It is an arithmetic number, because the mean of its divisors is an integer number (12263940).

Almost surely, 2440223000 is an apocalyptic number.

440223000 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 440223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784892160).

440223000 is an abundant number, since it is smaller than the sum of its proper divisors (1129561320).

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

440223000 is a wasteful number, since it uses less digits than its factorization.

440223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 440223000 is about 20981.4918440038. The cubic root of 440223000 is about 760.7189641475.

Adding to 440223000 its reverse (322044), we get a palindrome (440545044).

The spelling of 440223000 in words is "four hundred forty million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 20963 21000 41926 62889 83852 104815 125778 146741 167704 209630 251556 293482 314445 419260 440223 503112 524075 586964 628890 733705 838520 880446 1048150 1173928 1257780 1467410 1572225 1760892 2096300 2201115 2515560 2620375 2934820 3144450 3521784 3668525 4192600 4402230 5240750 5869640 6288900 7337050 7861125 8804460 10481500 11005575 12577800 14674100 15722250 17608920 18342625 20963000 22011150 29348200 31444500 36685250 44022300 55027875 62889000 73370500 88044600 110055750 146741000 220111500 440223000