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96223680 = 2633573743
BaseRepresentation
bin1011011110001…
…00000111000000
320201001200002000
411233010013000
5144113124210
613314224000
72245613340
oct557040700
9221050060
1096223680
114a352303
1228285000
1316c209b7
14cacad20
1586aaac0
hex5bc41c0

96223680 has 448 divisors, whose sum is σ = 407700480. Its totient is φ = 20901888.

The previous prime is 96223649. The next prime is 96223691. The reversal of 96223680 is 8632269.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237739 + ... + 2237781.

Almost surely, 296223680 is an apocalyptic number.

96223680 is a gapful number since it is divisible by the number (90) 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 96223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203850240).

96223680 is an abundant number, since it is smaller than the sum of its proper divisors (311476800).

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

96223680 is a wasteful number, since it uses less digits than its factorization.

96223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96223680 is about 9809.3669520515. The cubic root of 96223680 is about 458.2410457346.

It can be divided in two parts, 962 and 23680, that added together give a palindrome (24642).

The spelling of 96223680 in words is "ninety-six million, two hundred twenty-three thousand, six hundred eighty".