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58403422224 = 2434741372
BaseRepresentation
bin110110011001000111…
…011000000000010000
312120202020100020210000
4312121013120000100
51424102234002344
642455152010000
74135201620000
oct663107300020
9176666306700
1058403422224
11228502335a4
12b39b230900
135679a52004
142b80810000
1517bc4cca69
hexd991d8010

58403422224 has 375 divisors, whose sum is σ = 198647359757. Its totient is φ = 16564891392.

The previous prime is 58403422183. The next prime is 58403422229. The reversal of 58403422224 is 42222430485.

The square root of 58403422224 is 241668.

It is a perfect power (a square), and thus also a powerful number.

58403422224 is a `hidden beast` number, since 5 + 8 + 4 + 0 + 3 + 422 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34306448400 + 24096973824 = 185220^2 + 155232^2 .

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 (58403422229) 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 74 ways as a sum of consecutive naturals, for example, 426302284 + ... + 426302420.

Almost surely, 258403422224 is an apocalyptic number.

58403422224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

58403422224 is the 241668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58403422224

58403422224 is an abundant number, since it is smaller than the sum of its proper divisors (140243937533).

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

58403422224 is an frugal number, since it uses more digits than its factorization.

58403422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Multiplying 58403422224 by its sum of digits (36), we get a square (2102523200064 = 14500082).

58403422224 divided by its sum of digits (36) gives a square (1622317284 = 402782).

The spelling of 58403422224 in words is "fifty-eight billion, four hundred three million, four hundred twenty-two thousand, two hundred twenty-four".