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23022322100 = 2252230223221
BaseRepresentation
bin10101011100001111…
…001100000110110100
32012102110120010202022
4111130033030012310
5334122203301400
614324252132312
71443341336411
oct253417140664
965373503668
1023022322100
119844556388
124566167098
13222b8a64cb
14118585d108
158eb26db85
hex55c3cc1b4

23022322100 has 18 divisors (see below), whose sum is σ = 49958439174. Its totient is φ = 9208928800.

The previous prime is 23022322069. The next prime is 23022322159. The reversal of 23022322100 is 122322032.

It can be written as a sum of positive squares in 3 ways, for example, as 1765848484 + 21256473616 = 42022^2 + 145796^2 .

It is a super-2 number, since 2×230223221002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 115111511 + ... + 115111710.

It is an arithmetic number, because the mean of its divisors is an integer number (2775468843).

Almost surely, 223022322100 is an apocalyptic number.

23022322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23022322100 is an abundant number, since it is smaller than the sum of its proper divisors (26936117074).

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

23022322100 is a wasteful number, since it uses less digits than its factorization.

23022322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230223235 (or 230223228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23022322100 its reverse (122322032), we get a palindrome (23144644132).

The spelling of 23022322100 in words is "twenty-three billion, twenty-two million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 230223221 460446442 920892884 1151116105 2302232210 4604464420 5755580525 11511161050 23022322100