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22183127040 = 211353472081
BaseRepresentation
bin10100101010001101…
…111010100000000000
32010020222110121112210
4110222031322200000
5330412340031130
614105113222120
71413501316524
oct245215724000
963228417483
1022183127040
119453884748
124371101940
132126a7c299
14110620dd84
1589c7535b0
hex52a37a800

22183127040 has 192 divisors, whose sum is σ = 71207398080. Its totient is φ = 5895618560.

The previous prime is 22183127011. The next prime is 22183127047. The reversal of 22183127040 is 4072138122.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×221831270402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22183126989 and 22183127007.

It is not an unprimeable number, because it can be changed into a prime (22183127047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10658800 + ... + 10660880.

It is an arithmetic number, because the mean of its divisors is an integer number (370871865).

Almost surely, 222183127040 is an apocalyptic number.

22183127040 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 22183127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35603699040).

22183127040 is an abundant number, since it is smaller than the sum of its proper divisors (49024271040).

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

22183127040 is a wasteful number, since it uses less digits than its factorization.

22183127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 22183127040 in words is "twenty-two billion, one hundred eighty-three million, one hundred twenty-seven thousand, forty".