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148834224 = 243271131433
BaseRepresentation
bin10001101111100…
…00011110110000
3101101001120011200
420313300132300
5301100143344
622434011200
73455033010
oct1067603660
9341046150
10148834224
11770163a0
1241a16b00
1324ab13b6
1415aa3c40
15d0ee069
hex8df07b0

148834224 has 240 divisors, whose sum is σ = 537298944. Its totient is φ = 37324800.

The previous prime is 148834187. The next prime is 148834243. The reversal of 148834224 is 422438841.

148834224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343512 + ... + 343944.

Almost surely, 2148834224 is an apocalyptic number.

148834224 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 148834224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649472).

148834224 is an abundant number, since it is smaller than the sum of its proper divisors (388464720).

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

148834224 is a wasteful number, since it uses less digits than its factorization.

148834224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 148834224 is about 12199.7632763919. The cubic root of 148834224 is about 529.9492344873.

The spelling of 148834224 in words is "one hundred forty-eight million, eight hundred thirty-four thousand, two hundred twenty-four".