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23141114200 = 23522310946153
BaseRepresentation
bin10101100011010100…
…010110000101011000
32012201202002101212201
4111203110112011120
5334343111123300
614344134215544
71446313140151
oct254324260530
965652071781
1023141114200
1198a5612676
124599ab45b4
13224a3996a9
141197542928
159068d666a
hex563516158

23141114200 has 96 divisors (see below), whose sum is σ = 56658650400. Its totient is φ = 8772572160.

The previous prime is 23141114167. The next prime is 23141114231. The reversal of 23141114200 is 241114132.

It is a super-2 number, since 2×231411142002 (a number of 22 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, 478324 + ... + 524476.

It is an arithmetic number, because the mean of its divisors is an integer number (590194275).

Almost surely, 223141114200 is an apocalyptic number.

23141114200 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 23141114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28329325200).

23141114200 is an abundant number, since it is smaller than the sum of its proper divisors (33517536200).

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

23141114200 is a wasteful number, since it uses less digits than its factorization.

23141114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46301 (or 46292 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 23141114200 its reverse (241114132), we get a palindrome (23382228332).

The spelling of 23141114200 in words is "twenty-three billion, one hundred forty-one million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 109 115 184 200 218 230 436 460 545 575 872 920 1090 1150 2180 2300 2507 2725 4360 4600 5014 5450 10028 10900 12535 20056 21800 25070 46153 50140 62675 92306 100280 125350 184612 230765 250700 369224 461530 501400 923060 1061519 1153825 1846120 2123038 2307650 4246076 4615300 5030677 5307595 8492152 9230600 10061354 10615190 20122708 21230380 25153385 26537975 40245416 42460760 50306770 53075950 100613540 106151900 115705571 125766925 201227080 212303800 231411142 251533850 462822284 503067700 578527855 925644568 1006135400 1157055710 2314111420 2892639275 4628222840 5785278550 11570557100 23141114200