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2250371838 = 23111317415371
BaseRepresentation
bin1000011000100001…
…1111001011111110
312210211110201211010
42012020133023332
514102043344323
61011145140050
7106523562561
oct20610371376
95724421733
102250371838
11a55304740
1252978a626
1329b2ba090
14174c304d8
15d286bc93
hex8621f2fe

2250371838 has 256 divisors, whose sum is σ = 5925685248. Its totient is φ = 559104000.

The previous prime is 2250371831. The next prime is 2250371843. The reversal of 2250371838 is 8381730522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2250371796 and 2250371805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250371831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31695343 + ... + 31695413.

It is an arithmetic number, because the mean of its divisors is an integer number (23147208).

Almost surely, 22250371838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250371838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962842624).

2250371838 is an abundant number, since it is smaller than the sum of its proper divisors (3675313410).

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

2250371838 is a wasteful number, since it uses less digits than its factorization.

2250371838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2250371838 is about 47438.0842572716. The cubic root of 2250371838 is about 1310.4428776646.

The spelling of 2250371838 in words is "two billion, two hundred fifty million, three hundred seventy-one thousand, eight hundred thirty-eight".