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97225128 = 2332711131971
BaseRepresentation
bin1011100101110…
…00100110101000
320202221112210200
411302320212220
5144342201003
613351512200
72260254120
oct562704650
9222845720
1097225128
114a976750
1228688660
13171b1780
14ccabc80
1588076a3
hex5cb89a8

97225128 has 384 divisors, whose sum is σ = 377395200. Its totient is φ = 21772800.

The previous prime is 97225069. The next prime is 97225129. The reversal of 97225128 is 82152279.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 97225092 and 97225101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97225129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369333 + ... + 1369403.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 297225128 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 97225128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

97225128 is an abundant number, since it is smaller than the sum of its proper divisors (280170072).

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

97225128 is a wasteful number, since it uses less digits than its factorization.

97225128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 97225128 is about 9860.2803205588. The cubic root of 97225128 is about 459.8252770582.

It can be divided in two parts, 972251 and 28, that added together give a palindrome (972279).

The spelling of 97225128 in words is "ninety-seven million, two hundred twenty-five thousand, one hundred twenty-eight".