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2238657564 = 22311134147677
BaseRepresentation
bin1000010101101111…
…0011010000011100
312210000102120212010
42011123303100130
514041044020224
61010050111220
7106322163303
oct20533632034
95700376763
102238657564
11a49733620
1252587b510
13298a48160
1417346143a
15d1805e29
hex856f341c

2238657564 has 192 divisors, whose sum is σ = 6429652992. Its totient is φ = 597043200.

The previous prime is 2238657527. The next prime is 2238657569. The reversal of 2238657564 is 4657568322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238657569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3306394 + ... + 3307070.

It is an arithmetic number, because the mean of its divisors is an integer number (33487776).

Almost surely, 22238657564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238657564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214826496).

2238657564 is an abundant number, since it is smaller than the sum of its proper divisors (4190995428).

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

2238657564 is a wasteful number, since it uses less digits than its factorization.

2238657564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 2238657564 is about 47314.4540706114. The cubic root of 2238657564 is about 1308.1650910586.

The spelling of 2238657564 in words is "two billion, two hundred thirty-eight million, six hundred fifty-seven thousand, five hundred sixty-four".