Search a number
-
+
1022552245660 = 22511371014093041
BaseRepresentation
bin11101110000101001101…
…11010000010110011100
310121202101102110012120211
432320110313100112130
5113223141333330120
62101430511222204
7133606540451251
oct16702467202634
93552342405524
101022552245660
113647310a2950
12146216817964
13755706661ba
14376c569d428
151b8eb5cd25a
hexee14dd059c

1022552245660 has 192 divisors, whose sum is σ = 2436449258880. Its totient is φ = 357212160000.

The previous prime is 1022552245651. The next prime is 1022552245691. The reversal of 1022552245660 is 665422552201.

1022552245660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10225522456602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336253740 + ... + 336256780.

It is an arithmetic number, because the mean of its divisors is an integer number (12689839890).

Almost surely, 21022552245660 is an apocalyptic number.

1022552245660 is a gapful number since it is divisible by the number (10) 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 1022552245660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218224629440).

1022552245660 is an abundant number, since it is smaller than the sum of its proper divisors (1413897013220).

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

1022552245660 is a wasteful number, since it uses less digits than its factorization.

1022552245660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 1022552245660 its reverse (665422552201), we get a palindrome (1687974797861).

The spelling of 1022552245660 in words is "one trillion, twenty-two billion, five hundred fifty-two million, two hundred forty-five thousand, six hundred sixty".