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23120450400 = 253529633521
BaseRepresentation
bin10101100010000101…
…100001001101100000
32012200022012120110210
4111202011201031200
5334322313403100
614342115254120
71445642404635
oct254205411540
965608176423
1023120450400
119894989653
124592baa340
1322460130a8
1411948c418c
15904ba3c50
hex562161360

23120450400 has 72 divisors (see below), whose sum is σ = 75257073864. Its totient is φ = 6165452800.

The previous prime is 23120450393. The next prime is 23120450401. The reversal of 23120450400 is 405402132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120450401) 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 11 ways as a sum of consecutive naturals, for example, 4814361 + ... + 4819160.

It is an arithmetic number, because the mean of its divisors is an integer number (1045237137).

Almost surely, 223120450400 is an apocalyptic number.

23120450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120450400 is an abundant number, since it is smaller than the sum of its proper divisors (52136623464).

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

23120450400 is a wasteful number, since it uses less digits than its factorization.

23120450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633544 (or 9633531 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 23120450400 its reverse (405402132), we get a palindrome (23525852532).

The spelling of 23120450400 in words is "twenty-three billion, one hundred twenty million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 9633521 19267042 28900563 38534084 48167605 57801126 77068168 96335210 115602252 144502815 154136336 192670420 231204504 240838025 289005630 308272672 385340840 462409008 481676050 578011260 722514075 770681680 924818016 963352100 1156022520 1445028150 1541363360 1926704200 2312045040 2890056300 3853408400 4624090080 5780112600 7706816800 11560225200 23120450400