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2244006624 = 25323375069
BaseRepresentation
bin1000010111000000…
…1101001011100000
312210101111100101110
42011300031023200
514043431202444
61010400503320
7106415512236
oct20560151340
95711440343
102244006624
11a51757432
1252761ab40
13299b9ba92
14174054956
15d2010cb9
hex85c0d2e0

2244006624 has 24 divisors (see below), whose sum is σ = 5890517640. Its totient is φ = 748002176.

The previous prime is 2244006623. The next prime is 2244006683. The reversal of 2244006624 is 4266004422.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2244006591 and 2244006600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244006623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11687439 + ... + 11687630.

It is an arithmetic number, because the mean of its divisors is an integer number (245438235).

Almost surely, 22244006624 is an apocalyptic number.

2244006624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2244006624 is an abundant number, since it is smaller than the sum of its proper divisors (3646511016).

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

2244006624 is a wasteful number, since it uses less digits than its factorization.

2244006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23375082 (or 23375074 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2244006624 is about 47370.9470456312. The cubic root of 2244006624 is about 1309.2061744606.

The spelling of 2244006624 in words is "two billion, two hundred forty-four million, six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23375069 46750138 70125207 93500276 140250414 187000552 280500828 374001104 561001656 748002208 1122003312 2244006624