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11225135440 = 245140314193
BaseRepresentation
bin10100111010001000…
…11111100101010000
31001222022001222000001
422131010133211100
5140442113313230
65053505335344
7545112035251
oct123504374520
931868058001
1011225135440
114840329442
122213337554
13109b77269c
14786b56b28
1545a7110ca
hex29d11f950

11225135440 has 20 divisors (see below), whose sum is σ = 26098440084. Its totient is φ = 4490054144.

The previous prime is 11225135437. The next prime is 11225135461. The reversal of 11225135440 is 4453152211.

It can be written as a sum of positive squares in 2 ways, for example, as 5002449984 + 6222685456 = 70728^2 + 78884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11225135399 and 11225135408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70157017 + ... + 70157176.

Almost surely, 211225135440 is an apocalyptic number.

11225135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11225135440 is an abundant number, since it is smaller than the sum of its proper divisors (14873304644).

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

11225135440 is a wasteful number, since it uses less digits than its factorization.

11225135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140314206 (or 140314200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 11225135440 its reverse (4453152211), we get a palindrome (15678287651).

The spelling of 11225135440 in words is "eleven billion, two hundred twenty-five million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 140314193 280628386 561256772 701570965 1122513544 1403141930 2245027088 2806283860 5612567720 11225135440