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11022114240 = 263257734951
BaseRepresentation
bin10100100001111100…
…00001110111000000
31001110011001102021100
422100332001313000
5140033130123430
65021414054400
7540065265564
oct122076016700
931404042240
1011022114240
114746772625
12217734a400
13106869b1b7
14767bc96a4
154479ab960
hex290f81dc0

11022114240 has 168 divisors, whose sum is σ = 37968192288. Its totient is φ = 2934835200.

The previous prime is 11022114209. The next prime is 11022114241. The reversal of 11022114240 is 4241122011.

It is a super-2 number, since 2×110221142402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022114241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2223765 + ... + 2228715.

Almost surely, 211022114240 is an apocalyptic number.

11022114240 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 11022114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18984096144).

11022114240 is an abundant number, since it is smaller than the sum of its proper divisors (26946078048).

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

11022114240 is a wasteful number, since it uses less digits than its factorization.

11022114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022114240 its reverse (4241122011), we get a palindrome (15263236251).

The spelling of 11022114240 in words is "eleven billion, twenty-two million, one hundred fourteen thousand, two hundred forty".