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22123144343400 = 23352531928936067
BaseRepresentation
bin1010000011110111100100…
…01010001110111101101000
32220022221200222010011101020
411001323302022032331220
510344431144422442100
6115015122053452440
74442226066125202
oct501736212167550
986287628104336
1022123144343400
11705a411261751
122593744341120
13c462852b4c99
14566aa18b1772
15285718dc15a0
hex141ef228ef68

22123144343400 has 192 divisors, whose sum is σ = 69881302756800. Its totient is φ = 5787733186560.

The previous prime is 22123144343369. The next prime is 22123144343429. The reversal of 22123144343400 is 434344132122.

It is a super-2 number, since 2×221231443434002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613372167 + ... + 613408233.

It is an arithmetic number, because the mean of its divisors is an integer number (363965118525).

Almost surely, 222123144343400 is an apocalyptic number.

22123144343400 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 22123144343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34940651378400).

22123144343400 is an abundant number, since it is smaller than the sum of its proper divisors (47758158413400).

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

22123144343400 is a wasteful number, since it uses less digits than its factorization.

22123144343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55428 (or 55419 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 22123144343400 its reverse (434344132122), we get a palindrome (22557488475522).

The spelling of 22123144343400 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred forty-four million, three hundred forty-three thousand, four hundred".