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23114330200 = 23521312770001
BaseRepresentation
bin10101100001101110…
…001011000001011000
32012122212200122010201
4111201232023001120
5334314232031300
614341340151544
71445536364533
oct254156130130
965585618121
1023114330200
119891489435
124590b385b4
13224497c480
141193b6da1a
1590439566a
hex561b8b058

23114330200 has 96 divisors (see below), whose sum is σ = 58331266560. Its totient is φ = 8467200000.

The previous prime is 23114330131. The next prime is 23114330227. The reversal of 23114330200 is 203341132.

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, 295200 + ... + 365200.

It is an arithmetic number, because the mean of its divisors is an integer number (607617360).

Almost surely, 223114330200 is an apocalyptic number.

23114330200 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 23114330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29165633280).

23114330200 is an abundant number, since it is smaller than the sum of its proper divisors (35216936360).

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

23114330200 is a wasteful number, since it uses less digits than its factorization.

23114330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70157 (or 70148 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23114330200 its reverse (203341132), we get a palindrome (23317671332).

The spelling of 23114330200 in words is "twenty-three billion, one hundred fourteen million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 127 130 200 254 260 325 508 520 635 650 1016 1270 1300 1651 2540 2600 3175 3302 5080 6350 6604 8255 12700 13208 16510 25400 33020 41275 66040 70001 82550 140002 165100 280004 330200 350005 560008 700010 910013 1400020 1750025 1820026 2800040 3500050 3640052 4550065 7000100 7280104 8890127 9100130 14000200 17780254 18200260 22750325 35560508 36400520 44450635 45500650 71121016 88901270 91001300 115571651 177802540 182002600 222253175 231143302 355605080 444506350 462286604 577858255 889012700 924573208 1155716510 1778025400 2311433020 2889291275 4622866040 5778582550 11557165100 23114330200