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201223116432 = 243313231671327
BaseRepresentation
bin1011101101100111010…
…1010001011010010000
3201020101120210102211000
42323121311101122100
511244101104211212
6232235101422000
720352332161062
oct2733165213220
9636346712730
10201223116432
117837a226728
1232bb926a900
1315c8a848400
149a4c70b732
15537aa291dc
hex2ed9d51690

201223116432 has 480 divisors, whose sum is σ = 655737077760. Its totient is φ = 58978782720.

The previous prime is 201223116343. The next prime is 201223116439. The reversal of 201223116432 is 234611322102.

201223116432 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 2 + 3 + 11 + 643 + 2 = 666.

201223116432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201223116396 and 201223116405.

It is not an unprimeable number, because it can be changed into a prime (201223116439) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 151636953 + ... + 151638279.

It is an arithmetic number, because the mean of its divisors is an integer number (1366118912).

Almost surely, 2201223116432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201223116432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327868538880).

201223116432 is an abundant number, since it is smaller than the sum of its proper divisors (454513961328).

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

201223116432 is a wasteful number, since it uses less digits than its factorization.

201223116432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201223116432 its reverse (234611322102), we get a palindrome (435834438534).

The spelling of 201223116432 in words is "two hundred one billion, two hundred twenty-three million, one hundred sixteen thousand, four hundred thirty-two".