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225724805000 = 235467192
BaseRepresentation
bin1101001000111000111…
…1110010111110001000
3210120122011001011211222
43102032033302332020
512144241022230000
6251410241541212
722210446120332
oct3221617627610
9716564034758
10225724805000
1187802849a22
12378b6944808
1318393a6b296
14acd481c452
155d11ab8a85
hex348e3f2f88

225724805000 has 60 divisors (see below), whose sum is σ = 528951942915. Its totient is φ = 90276484000.

The previous prime is 225724804999. The next prime is 225724805017. The reversal of 225724805000 is 508427522.

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 3 ways, for example, as 52187574916 + 173537230084 = 228446^2 + 416578^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335950.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33591641 + ... + 33598359.

Almost surely, 2225724805000 is an apocalyptic number.

225724805000 is a gapful number since it is divisible by the number (20) 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 225724805000

225724805000 is an abundant number, since it is smaller than the sum of its proper divisors (303227137915).

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

225724805000 is an frugal number, since it uses more digits than its factorization.

225724805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13464 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The spelling of 225724805000 in words is "two hundred twenty-five billion, seven hundred twenty-four million, eight hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 6719 13438 26876 33595 53752 67190 134380 167975 268760 335950 671900 839875 1343800 1679750 3359500 4199375 6719000 8398750 16797500 33595000 45144961 90289922 180579844 225724805 361159688 451449610 902899220 1128624025 1805798440 2257248050 4514496100 5643120125 9028992200 11286240250 22572480500 28215600625 45144961000 56431201250 112862402500 225724805000