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23453130400 = 255274188059
BaseRepresentation
bin10101110101111010…
…100101111010100000
32020112111012110122021
4111311322211322200
5341013000133100
614435121551224
71460122214320
oct256572457240
966474173567
1023453130400
119a45753aa7
1246664a5514
132299c1396b
1411c6b63280
15923ebaa1a
hex575ea5ea0

23453130400 has 72 divisors (see below), whose sum is σ = 65434249440. Its totient is φ = 8041071360.

The previous prime is 23453130397. The next prime is 23453130403. The reversal of 23453130400 is 403135432.

It is an interprime number because it is at equal distance from previous prime (23453130397) and next prime (23453130403).

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 (23453130403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2088430 + ... + 2099629.

It is an arithmetic number, because the mean of its divisors is an integer number (908809020).

Almost surely, 223453130400 is an apocalyptic number.

23453130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23453130400 is an abundant number, since it is smaller than the sum of its proper divisors (41981119040).

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

23453130400 is a wasteful number, since it uses less digits than its factorization.

23453130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188086 (or 4188073 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 23453130400 its reverse (403135432), we get a palindrome (23856265832).

The spelling of 23453130400 in words is "twenty-three billion, four hundred fifty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 4188059 8376118 16752236 20940295 29316413 33504472 41880590 58632826 67008944 83761180 104701475 117265652 134017888 146582065 167522360 209402950 234531304 293164130 335044720 418805900 469062608 586328260 670089440 732910325 837611800 938125216 1172656520 1465820650 1675223600 2345313040 2931641300 3350447200 4690626080 5863282600 11726565200 23453130400