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23054430400 = 2652109313183
BaseRepresentation
bin10101011110001001…
…101011000011000000
32012111200222102001121
4111132021223003000
5334203413233100
614331400242024
71444211265541
oct253611530300
965450872047
1023054430400
119860696871
124574a70314
132235438cc1
141189c1a4c8
158edeb251a
hex55e26b0c0

23054430400 has 84 divisors (see below), whose sum is σ = 56784516352. Its totient is φ = 9212636160.

The previous prime is 23054430389. The next prime is 23054430403. The reversal of 23054430400 is 403445032.

It is a super-2 number, since 2×230544304002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23054430403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1742209 + ... + 1755391.

Almost surely, 223054430400 is an apocalyptic number.

23054430400 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 23054430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28392258176).

23054430400 is an abundant number, since it is smaller than the sum of its proper divisors (33730085952).

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

23054430400 is a wasteful number, since it uses less digits than its factorization.

23054430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298 (or 14283 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 23054430400 its reverse (403445032), we get a palindrome (23457875432).

The spelling of 23054430400 in words is "twenty-three billion, fifty-four million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1093 1600 2186 4372 5465 8744 10930 13183 17488 21860 26366 27325 34976 43720 52732 54650 65915 69952 87440 105464 109300 131830 174880 210928 218600 263660 329575 349760 421856 437200 527320 659150 843712 874400 1054640 1318300 1748800 2109280 2636600 4218560 5273200 10546400 14409019 21092800 28818038 57636076 72045095 115272152 144090190 230544304 288180380 360225475 461088608 576360760 720450950 922177216 1152721520 1440901900 2305443040 2881803800 4610886080 5763607600 11527215200 23054430400