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2225413540 = 225715895811
BaseRepresentation
bin1000010010100101…
…0001110110100100
312202002111201110201
42010221101312210
514024201213130
61004454200244
7106101463060
oct20451216644
95662451421
102225413540
11a42208149
12521353084
1329608bb5c
141717b4aa0
15d058bbca
hex84a51da4

2225413540 has 24 divisors (see below), whose sum is σ = 5340992832. Its totient is φ = 762998880.

The previous prime is 2225413483. The next prime is 2225413549. The reversal of 2225413540 is 453145222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2225413499 and 2225413508.

It is not an unprimeable number, because it can be changed into a prime (2225413549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7947766 + ... + 7948045.

It is an arithmetic number, because the mean of its divisors is an integer number (222541368).

Almost surely, 22225413540 is an apocalyptic number.

2225413540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225413540 is an abundant number, since it is smaller than the sum of its proper divisors (3115579292).

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

2225413540 is a wasteful number, since it uses less digits than its factorization.

2225413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15895827 (or 15895825 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2225413540 is about 47174.2889718541. The cubic root of 2225413540 is about 1305.5802609305.

Adding to 2225413540 its reverse (453145222), we get a palindrome (2678558762).

The spelling of 2225413540 in words is "two billion, two hundred twenty-five million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 15895811 31791622 63583244 79479055 111270677 158958110 222541354 317916220 445082708 556353385 1112706770 2225413540