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23200054100 = 2252232000541
BaseRepresentation
bin10101100110110101…
…001011101101010100
32012212211222212012222
4111212311023231110
5340003203212400
614354041401512
71450630130456
oct254665135524
965784885188
1023200054100
11992590a033
1245b5799298
132259664c82
1411a12c62d6
1590bb7a185
hex566d4bb54

23200054100 has 18 divisors (see below), whose sum is σ = 50344117614. Its totient is φ = 9280021600.

The previous prime is 23200054081. The next prime is 23200054123. The reversal of 23200054100 is 145000232.

It can be written as a sum of positive squares in 3 ways, for example, as 101525776 + 23098528324 = 10076^2 + 151982^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 116000171 + ... + 116000370.

It is an arithmetic number, because the mean of its divisors is an integer number (2796895423).

Almost surely, 223200054100 is an apocalyptic number.

23200054100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200054100 is an abundant number, since it is smaller than the sum of its proper divisors (27144063514).

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

23200054100 is a wasteful number, since it uses less digits than its factorization.

23200054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232000555 (or 232000548 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 23200054100 its reverse (145000232), we get a palindrome (23345054332).

The spelling of 23200054100 in words is "twenty-three billion, two hundred million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 232000541 464001082 928002164 1160002705 2320005410 4640010820 5800013525 11600027050 23200054100