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23323144400 = 2452217926759
BaseRepresentation
bin10101101110001010…
…101111000011010000
32020012102121111100222
4111232022233003100
5340231211110100
614414155532212
71453653312353
oct255612570320
966172544328
1023323144400
119989341656
12462aa5a068
13227900167a
1411b37a829a
15917891485
hex56e2af0d0

23323144400 has 60 divisors (see below), whose sum is σ = 56061664800. Its totient is φ = 9324627840.

The previous prime is 23323144381. The next prime is 23323144409. The reversal of 23323144400 is 444132332.

It is a self number, because there is not a number n which added to its sum of digits gives 23323144400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23323144409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858221 + ... + 884979.

It is an arithmetic number, because the mean of its divisors is an integer number (934361080).

Almost surely, 223323144400 is an apocalyptic number.

23323144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23323144400 is an abundant number, since it is smaller than the sum of its proper divisors (32738520400).

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

23323144400 is a wasteful number, since it uses less digits than its factorization.

23323144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28956 (or 28945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 23323144400 its reverse (444132332), we get a palindrome (23767276732).

The spelling of 23323144400 in words is "twenty-three billion, three hundred twenty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2179 4358 8716 10895 17432 21790 26759 34864 43580 53518 54475 87160 107036 108950 133795 174320 214072 217900 267590 428144 435800 535180 668975 871600 1070360 1337950 2140720 2675900 5351800 10703600 58307861 116615722 233231444 291539305 466462888 583078610 932925776 1166157220 1457696525 2332314440 2915393050 4664628880 5830786100 11661572200 23323144400