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20022000 = 243534771
BaseRepresentation
bin100110001100…
…0001011110000
31101200020000120
41030120023300
520111201000
61553050240
7332120115
oct114301360
941606016
1020022000
1110335909
126856980
1341c044b
14293290c
151b576a0
hex13182f0

20022000 has 160 divisors (see below), whose sum is σ = 66852864. Its totient is φ = 5152000.

The previous prime is 20021999. The next prime is 20022011. The reversal of 20022000 is 22002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281965 + ... + 282035.

Almost surely, 220022000 is an apocalyptic number.

20022000 is a gapful number since it is divisible by the number (20) 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 20022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33426432).

20022000 is an abundant number, since it is smaller than the sum of its proper divisors (46830864).

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

20022000 is a wasteful number, since it uses less digits than its factorization.

20022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 20022000 is about 4474.5949537360. The cubic root of 20022000 is about 271.5412538339.

Adding to 20022000 its reverse (22002), we get a palindrome (20044002).

The spelling of 20022000 in words is "twenty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 71 75 80 94 100 120 125 141 142 150 188 200 213 235 240 250 282 284 300 355 375 376 400 426 470 500 564 568 600 705 710 750 752 852 940 1000 1065 1128 1136 1175 1200 1410 1420 1500 1704 1775 1880 2000 2130 2256 2350 2820 2840 3000 3337 3408 3525 3550 3760 4260 4700 5325 5640 5680 5875 6000 6674 7050 7100 8520 8875 9400 10011 10650 11280 11750 13348 14100 14200 16685 17040 17625 17750 18800 20022 21300 23500 26625 26696 28200 28400 33370 35250 35500 40044 42600 47000 50055 53250 53392 56400 66740 70500 71000 80088 83425 85200 94000 100110 106500 133480 141000 142000 160176 166850 200220 213000 250275 266960 282000 333700 400440 417125 426000 500550 667400 800880 834250 1001100 1251375 1334800 1668500 2002200 2502750 3337000 4004400 5005500 6674000 10011000 20022000