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23220424100 = 22521713659073
BaseRepresentation
bin10101101000000010…
…111000110110100100
32012221021022202121102
4111220002320312210
5340023412032400
614400050135232
71451265230306
oct255002706644
965837282542
1023220424100
119936362345
124600581518
132260947923
1411a3ca9976
1590d8509d5
hex5680b8da4

23220424100 has 36 divisors (see below), whose sum is σ = 53352343044. Its totient is φ = 8741806080.

The previous prime is 23220424067. The next prime is 23220424103. The reversal of 23220424100 is 142402232.

It can be written as a sum of positive squares in 6 ways, for example, as 158357056 + 23062067044 = 12584^2 + 151862^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23220424103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6827837 + ... + 6831236.

It is an arithmetic number, because the mean of its divisors is an integer number (1482009529).

Almost surely, 223220424100 is an apocalyptic number.

23220424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23220424100 is an abundant number, since it is smaller than the sum of its proper divisors (30131918944).

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

23220424100 is a wasteful number, since it uses less digits than its factorization.

23220424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659104 (or 13659097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23220424100 its reverse (142402232), we get a palindrome (23362826332).

The spelling of 23220424100 in words is "twenty-three billion, two hundred twenty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13659073 27318146 54636292 68295365 136590730 232204241 273181460 341476825 464408482 682953650 928816964 1161021205 1365907300 2322042410 4644084820 5805106025 11610212050 23220424100