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1138690224 = 24357243139
BaseRepresentation
bin100001111011111…
…0000100010110000
32221100122110100000
41003313300202300
54313001041344
6304554030000
740134464400
oct10367604260
92840573300
101138690224
11534840901
12279418300
13151ba92c9
14ab330800
1569e79a69
hex43df08b0

1138690224 has 360 divisors, whose sum is σ = 3962038080. Its totient is φ = 315487872.

The previous prime is 1138690199. The next prime is 1138690229. The reversal of 1138690224 is 4220968311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1138690229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8191947 + ... + 8192085.

Almost surely, 21138690224 is an apocalyptic number.

1138690224 is a gapful number since it is divisible by the number (14) 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 1138690224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981019040).

1138690224 is an abundant number, since it is smaller than the sum of its proper divisors (2823347856).

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

1138690224 is a wasteful number, since it uses less digits than its factorization.

1138690224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1138690224 is about 33744.4843492977. The cubic root of 1138690224 is about 1044.2437005403.

The spelling of 1138690224 in words is "one billion, one hundred thirty-eight million, six hundred ninety thousand, two hundred twenty-four".