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2238696768 = 263711163929
BaseRepresentation
bin1000010101101111…
…1100110101000000
312210000111120122010
42011123330311000
514041101244033
61010051012520
7106322415510
oct20533746500
95700446563
102238696768
11a49760020
1252589a140
13298a5cc59
14173471840
15d1812863
hex856fcd40

2238696768 has 224 divisors, whose sum is σ = 7438095360. Its totient is φ = 577290240.

The previous prime is 2238696763. The next prime is 2238696769. The reversal of 2238696768 is 8676968322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238696763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2409328 + ... + 2410256.

Almost surely, 22238696768 is an apocalyptic number.

2238696768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719047680).

2238696768 is an abundant number, since it is smaller than the sum of its proper divisors (5199398592).

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

2238696768 is a wasteful number, since it uses less digits than its factorization.

2238696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 2238696768 is about 47314.8683608018. The cubic root of 2238696768 is about 1308.1727273322.

The spelling of 2238696768 in words is "two billion, two hundred thirty-eight million, six hundred ninety-six thousand, seven hundred sixty-eight".