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2023323122200 = 2352101216146351
BaseRepresentation
bin11101011100010111011…
…101001011101000011000
321011102112212102012212211
4131130113131023220120
5231122231204402300
64145300220244504
7266115555525622
oct35342735135030
97142485365784
102023323122200
117100a5177796
122881729a0734
13118a4c5588b3
146dd0224dc12
15379708674ba
hex1d71774ba18

2023323122200 has 96 divisors (see below), whose sum is σ = 4753103728320. Its totient is φ = 800928000000.

The previous prime is 2023323122131. The next prime is 2023323122243. The reversal of 2023323122200 is 22213233202.

It is a super-2 number, since 2×20233231222002 (a number of 25 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 23 ways as a sum of consecutive naturals, for example, 43629025 + ... + 43675375.

It is an arithmetic number, because the mean of its divisors is an integer number (49511497170).

Almost surely, 22023323122200 is an apocalyptic number.

2023323122200 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 2023323122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376551864160).

2023323122200 is an abundant number, since it is smaller than the sum of its proper divisors (2729780606120).

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

2023323122200 is a wasteful number, since it uses less digits than its factorization.

2023323122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48629 (or 48620 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2023323122200 its reverse (22213233202), we get a palindrome (2045536355402).

The spelling of 2023323122200 in words is "two trillion, twenty-three billion, three hundred twenty-three million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2161 2525 4040 4322 5050 8644 10100 10805 17288 20200 21610 43220 46351 54025 86440 92702 108050 185404 216100 218261 231755 370808 432200 436522 463510 873044 927020 1091305 1158775 1746088 1854040 2182610 2317550 4365220 4635100 4681451 5456525 8730440 9270200 9362902 10913050 18725804 21826100 23407255 37451608 43652200 46814510 93629020 100164511 117036275 187258040 200329022 234072550 400658044 468145100 500822555 801316088 936290200 1001645110 2003290220 2504112775 4006580440 5008225550 10016451100 10116615611 20032902200 20233231222 40466462444 50583078055 80932924888 101166156110 202332312220 252915390275 404664624440 505830780550 1011661561100 2023323122200