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11214422340 = 223511233472129
BaseRepresentation
bin10100111000110111…
…01000000101000100
31001221112220200101120
422130123220011010
5140431343003330
65052443553540
7544622005602
oct123433500504
931845820346
1011214422340
114835281540
12220b82b8b0
131099491384
14785568872
154597e6c10
hex29c6e8144

11214422340 has 192 divisors, whose sum is σ = 35864156160. Its totient is φ = 2591733760.

The previous prime is 11214422321. The next prime is 11214422353. The reversal of 11214422340 is 4322441211.

It is a self number, because there is not a number n which added to its sum of digits gives 11214422340.

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, 5266396 + ... + 5268524.

It is an arithmetic number, because the mean of its divisors is an integer number (186792480).

Almost surely, 211214422340 is an apocalyptic number.

11214422340 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 11214422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932078080).

11214422340 is an abundant number, since it is smaller than the sum of its proper divisors (24649733820).

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

11214422340 is a wasteful number, since it uses less digits than its factorization.

11214422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11214422340 its reverse (4322441211), we get a palindrome (15536863551).

The spelling of 11214422340 in words is "eleven billion, two hundred fourteen million, four hundred twenty-two thousand, three hundred forty".