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2020232000 = 26531913291
BaseRepresentation
bin111100001101010…
…0100101101000000
312012210102102022102
41320122210231000
513114134411000
6532244325532
7101030455133
oct17032445500
95183372272
102020232000
11947406226
124846a38a8
1326270c267
1415244421a
15bc55c3d5
hex786a4b40

2020232000 has 112 divisors (see below), whose sum is σ = 5266822080. Its totient is φ = 765504000.

The previous prime is 2020231999. The next prime is 2020232041. The reversal of 2020232000 is 2320202.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 145355 + ... + 158645.

Almost surely, 22020232000 is an apocalyptic number.

2020232000 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 2020232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633411040).

2020232000 is an abundant number, since it is smaller than the sum of its proper divisors (3246590080).

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

2020232000 is a wasteful number, since it uses less digits than its factorization.

2020232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2020232000 is about 44946.9910005108. The cubic root of 2020232000 is about 1264.1552578609.

Adding to 2020232000 its reverse (2320202), we get a palindrome (2022552202).

The spelling of 2020232000 in words is "two billion, twenty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 13291 15200 19000 26582 30400 38000 53164 66455 76000 106328 132910 152000 212656 252529 265820 332275 425312 505058 531640 664550 850624 1010116 1063280 1262645 1329100 1661375 2020232 2126560 2525290 2658200 3322750 4040464 4253120 5050580 5316400 6313225 6645500 8080928 10101160 10632800 12626450 13291000 16161856 20202320 21265600 25252900 26582000 31566125 40404640 50505800 53164000 63132250 80809280 101011600 106328000 126264500 202023200 252529000 404046400 505058000 1010116000 2020232000