Search a number
-
+
20221331000 = 2353133150177
BaseRepresentation
bin10010110101010010…
…010000011000111000
31221012021000001022012
4102311102100120320
5312403130043000
613142313145052
71314050322533
oct226522203070
957167001265
1020221331000
118637461302
123b040bb188
131ba34c0120
14d9b85ba1a
157d53da735
hex4b5490638

20221331000 has 128 divisors (see below), whose sum is σ = 52602600960. Its totient is φ = 7225344000.

The previous prime is 20221330999. The next prime is 20221331029. The reversal of 20221331000 is 13312202.

It is a happy number.

It is a super-2 number, since 2×202213310002 (a number of 21 digits) contains 22 as substring.

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, 377912 + ... + 428088.

It is an arithmetic number, because the mean of its divisors is an integer number (410957820).

Almost surely, 220221331000 is an apocalyptic number.

20221331000 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 20221331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26301300480).

20221331000 is an abundant number, since it is smaller than the sum of its proper divisors (32381269960).

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

20221331000 is a wasteful number, since it uses less digits than its factorization.

20221331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50242 (or 50228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20221331000 its reverse (13312202), we get a palindrome (20234643202).

The spelling of 20221331000 in words is "twenty billion, two hundred twenty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 125 130 155 200 248 250 260 310 325 403 500 520 620 650 775 806 1000 1240 1300 1550 1612 1625 2015 2600 3100 3224 3250 3875 4030 6200 6500 7750 8060 10075 13000 15500 16120 20150 31000 40300 50177 50375 80600 100354 100750 200708 201500 250885 401416 403000 501770 652301 1003540 1254425 1304602 1555487 2007080 2508850 2609204 3110974 3261505 5017700 5218408 6221948 6272125 6523010 7777435 10035400 12443896 12544250 13046020 15554870 16307525 20221331 25088500 26092040 31109740 32615050 38887175 40442662 50177000 62219480 65230100 77774350 80885324 81537625 101106655 130460200 155548700 161770648 163075250 194435875 202213310 311097400 326150500 388871750 404426620 505533275 652301000 777743500 808853240 1011066550 1555487000 2022133100 2527666375 4044266200 5055332750 10110665500 20221331000