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2226531024 = 24335154007
BaseRepresentation
bin1000010010110110…
…0010101011010000
312202011121111101000
42010231202223100
514024442443044
61004534142000
7106114126044
oct20455425320
95664544330
102226531024
11a42900793
125217b1900
132963906a3
141719c6024
15d070cd69
hex84b62ad0

2226531024 has 40 divisors (see below), whose sum is σ = 6390969920. Its totient is φ = 742176864.

The previous prime is 2226531019. The next prime is 2226531053. The reversal of 2226531024 is 4201356222.

It is a happy number.

2226531024 is a `hidden beast` number, since 2 + 2 + 2 + 653 + 1 + 0 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 2576572 + ... + 2577435.

It is an arithmetic number, because the mean of its divisors is an integer number (159774248).

Almost surely, 22226531024 is an apocalyptic number.

2226531024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2226531024 is an abundant number, since it is smaller than the sum of its proper divisors (4164438896).

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

2226531024 is a wasteful number, since it uses less digits than its factorization.

2226531024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154024 (or 5154012 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2226531024 is about 47186.1316914197. The cubic root of 2226531024 is about 1305.7987552896.

Adding to 2226531024 its reverse (4201356222), we get a palindrome (6427887246).

The spelling of 2226531024 in words is "two billion, two hundred twenty-six million, five hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5154007 10308014 15462021 20616028 30924042 41232056 46386063 61848084 82464112 92772126 123696168 139158189 185544252 247392336 278316378 371088504 556632756 742177008 1113265512 2226531024