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228400575 = 35213733209
BaseRepresentation
bin11011001110100…
…01110110111111
3120220202221200120
431213101312333
5431432304300
634355230023
75442241614
oct1547216677
9526687616
10228400575
11107a20807
12645a8313
133841c290
142249650b
15150b93a0
hexd9d1dbf

228400575 has 48 divisors (see below), whose sum is σ = 412369440. Its totient is φ = 110868480.

The previous prime is 228400573. The next prime is 228400597. The reversal of 228400575 is 575004822.

It is not a de Polignac number, because 228400575 - 21 = 228400573 is a prime.

It is a super-3 number, since 3×2284005753 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228400573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69571 + ... + 72779.

It is an arithmetic number, because the mean of its divisors is an integer number (8591030).

Almost surely, 2228400575 is an apocalyptic number.

228400575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228400575 is a deficient number, since it is larger than the sum of its proper divisors (183968865).

228400575 is a wasteful number, since it uses less digits than its factorization.

228400575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 228400575 is about 15112.9274133108. The cubic root of 228400575 is about 611.2690368400.

The spelling of 228400575 in words is "two hundred twenty-eight million, four hundred thousand, five hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 65 73 75 195 219 325 365 949 975 1095 1825 2847 3209 4745 5475 9627 14235 16045 23725 41717 48135 71175 80225 125151 208585 234257 240675 625755 702771 1042925 1171285 3045341 3128775 3513855 5856425 9136023 15226705 17569275 45680115 76133525 228400575