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2020022000 = 24533121051
BaseRepresentation
bin111100001100111…
…0001011011110000
312012210000202020122
41320121301123300
513114111201000
6532240025412
7101025621653
oct17031613360
95183022218
102020022000
11947282477
12484602268
132626677b9
141523cb89a
15bc51a085
hex786716f0

2020022000 has 120 divisors (see below), whose sum is σ = 5051859696. Its totient is φ = 781200000.

The previous prime is 2020021987. The next prime is 2020022003. The reversal of 2020022000 is 2200202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020022003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921475 + ... + 1922525.

Almost surely, 22020022000 is an apocalyptic number.

2020022000 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 2020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525929848).

2020022000 is an abundant number, since it is smaller than the sum of its proper divisors (3031837696).

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

2020022000 is a wasteful number, since it uses less digits than its factorization.

2020022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2020022000 is about 44944.6548546098. The cubic root of 2020022000 is about 1264.1114540134. Note that the first 3 decimals are identical.

Adding to 2020022000 its reverse (2200202), we get a palindrome (2022222202).

The spelling of 2020022000 in words is "two billion, twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 961 1000 1051 1240 1550 1922 2000 2102 2480 3100 3844 3875 4204 4805 5255 6200 7688 7750 8408 9610 10510 12400 15376 15500 16816 19220 21020 24025 26275 31000 32581 38440 42040 48050 52550 62000 65162 76880 84080 96100 105100 120125 130324 131375 162905 192200 210200 240250 260648 262750 325810 384400 420400 480500 521296 525500 651620 814525 961000 1010011 1051000 1303240 1629050 1922000 2020022 2102000 2606480 3258100 4040044 4072625 5050055 6516200 8080088 8145250 10100110 13032400 16160176 16290500 20200220 25250275 32581000 40400440 50500550 65162000 80800880 101001100 126251375 202002200 252502750 404004400 505005500 1010011000 2020022000