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BaseRepresentation
bin1011101101011…
…00100000000000
320211211022011200
411312230200000
5200121133003
613425141200
72301614502
oct566544000
9224738150
1098224128
1150499272
1228a8a800
13174713b2
14d08bd72
1589536a3
hex5dac800

98224128 has 108 divisors (see below), whose sum is σ = 287628705. Its totient is φ = 32292864.

The previous prime is 98224127. The next prime is 98224153. The reversal of 98224128 is 82142289.

Multipling 98224128 by its product of digits (18432), we get a square (1810467127296 = 13455362).

98224128 divided by its product of digits (18432) gives a square (5329 = 732).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 451584 = 9888^2 + 672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7008.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 98224092 and 98224101.

It is not an unprimeable number, because it can be changed into a prime (98224121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1345500 + ... + 1345572.

Almost surely, 298224128 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 98224128

98224128 is an abundant number, since it is smaller than the sum of its proper divisors (189404577).

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

98224128 is an equidigital number, since it uses as much as digits as its factorization.

98224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 78 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 98224128 is about 9910.8086451107. The cubic root of 98224128 is about 461.3948336675.

The spelling of 98224128 in words is "ninety-eight million, two hundred twenty-four thousand, one hundred twenty-eight".