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11220221340 = 223251743269317
BaseRepresentation
bin10100111001100011…
…01111110110011100
31001221221211022010100
422130301233312130
5140434334040330
65053212141100
7545022210366
oct123461576634
931857738110
1011220221340
1148385823a9
122211767790
13109a741a33
14786237d36
1545a090060
hex29cc6fd9c

11220221340 has 288 divisors, whose sum is σ = 37128611520. Its totient is φ = 2731696128.

The previous prime is 11220221329. The next prime is 11220221381. The reversal of 11220221340 is 4312202211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35394862 + ... + 35395178.

It is an arithmetic number, because the mean of its divisors is an integer number (128918790).

Almost surely, 211220221340 is an apocalyptic number.

11220221340 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 11220221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564305760).

11220221340 is an abundant number, since it is smaller than the sum of its proper divisors (25908390180).

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

11220221340 is a wasteful number, since it uses less digits than its factorization.

11220221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11220221340 its reverse (4312202211), we get a palindrome (15532423551).

The spelling of 11220221340 in words is "eleven billion, two hundred twenty million, two hundred twenty-one thousand, three hundred forty".