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58225690000 = 24541921272
BaseRepresentation
bin110110001110100001…
…011000010110010000
312120021211220112000001
4312032201120112100
51423221234040000
642425402335344
74130613125152
oct661641302620
9176254815001
1058225690000
112276997a765
12b34b7ba554
13564bc9340a
142b64d86ad2
1517abac146a
hexd8e858590

58225690000 has 225 divisors, whose sum is σ = 149960924487. Its totient is φ = 21890736000.

The previous prime is 58225689961. The next prime is 58225690001. The reversal of 58225690000 is 9652285.

It is a happy number.

The square root of 58225690000 is 241300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4564894096 + 53660795904 = 67564^2 + 231648^2 .

It is a super-2 number, since 2×582256900002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58225690001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 458469937 + ... + 458470063.

Almost surely, 258225690000 is an apocalyptic number.

58225690000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58225690000 is the 241300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58225690000

58225690000 is an abundant number, since it is smaller than the sum of its proper divisors (91735234487).

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

58225690000 is an equidigital number, since it uses as much as digits as its factorization.

58225690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

It can be divided in two parts, 58225 and 690000, that added together give a square (748225 = 8652).

The spelling of 58225690000 in words is "fifty-eight billion, two hundred twenty-five million, six hundred ninety thousand".