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2423223300 = 2235223334667
BaseRepresentation
bin1001000001101111…
…0111010000000100
320020212201111110010
42100123313100010
514430321121200
61040242030220
7114023025651
oct22033672004
96225644403
102423223300
111033934593
12577648370
132c805a254
1418db86c28
15e2b12150
hex906f7404

2423223300 has 72 divisors (see below), whose sum is σ = 7041486816. Its totient is φ = 643400960.

The previous prime is 2423223281. The next prime is 2423223301. The reversal of 2423223300 is 33223242.

It is a super-2 number, since 2×24232233002 = 11744022323325780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2423223301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52567 + ... + 87233.

It is an arithmetic number, because the mean of its divisors is an integer number (97798428).

Almost surely, 22423223300 is an apocalyptic number.

2423223300 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 2423223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520743408).

2423223300 is an abundant number, since it is smaller than the sum of its proper divisors (4618263516).

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

2423223300 is a wasteful number, since it uses less digits than its factorization.

2423223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34917 (or 34910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2423223300 is about 49226.2460482211. The cubic root of 2423223300 is about 1343.1705017382.

Adding to 2423223300 its reverse (33223242), we get a palindrome (2456446542).

The spelling of 2423223300 in words is "two billion, four hundred twenty-three million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 2330 2796 3495 4660 5825 6990 11650 13980 17475 23300 34667 34950 69334 69900 104001 138668 173335 208002 346670 416004 520005 693340 866675 1040010 1733350 2080020 2600025 3466700 5200050 8077411 10400100 16154822 24232233 32309644 40387055 48464466 80774110 96928932 121161165 161548220 201935275 242322330 403870550 484644660 605805825 807741100 1211611650 2423223300