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23404405200 = 24352111993319
BaseRepresentation
bin10101110011000000…
…101110000111010000
32020102002111222020020
4111303000232013100
5340413011431300
614430221343440
71455661106331
oct256300560720
966362458206
1023404405200
119a201a4040
124652107b80
13228cab3897
1411c04bc288
1591ea938a0
hex57302e1d0

23404405200 has 240 divisors, whose sum is σ = 86093299200. Its totient is φ = 5375116800.

The previous prime is 23404405151. The next prime is 23404405201. The reversal of 23404405200 is 250440432.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23404405201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204141 + ... + 297459.

It is an arithmetic number, because the mean of its divisors is an integer number (358722080).

Almost surely, 223404405200 is an apocalyptic number.

23404405200 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 23404405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046649600).

23404405200 is an abundant number, since it is smaller than the sum of its proper divisors (62688894000).

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

23404405200 is a wasteful number, since it uses less digits than its factorization.

23404405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93370 (or 93359 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 23404405200 its reverse (250440432), we get a palindrome (23654845632).

The spelling of 23404405200 in words is "twenty-three billion, four hundred four million, four hundred five thousand, two hundred".