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258700220 = 225174716189
BaseRepresentation
bin11110110101101…
…11001110111100
3200000210022222122
433122313032330
51012211401340
641400502112
76260626022
oct1732671674
9600708878
10258700220
11123036339
127277a938
134179a76c
1426502712
1517aa1db5
hexf6b73bc

258700220 has 48 divisors (see below), whose sum is σ = 587502720. Its totient is φ = 95314944.

The previous prime is 258700217. The next prime is 258700229. The reversal of 258700220 is 22007852.

It is a self number, because there is not a number n which added to its sum of digits gives 258700220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258700229) 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 15 ways as a sum of consecutive naturals, for example, 7886 + ... + 24074.

It is an arithmetic number, because the mean of its divisors is an integer number (12239640).

Almost surely, 2258700220 is an apocalyptic number.

258700220 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 258700220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293751360).

258700220 is an abundant number, since it is smaller than the sum of its proper divisors (328802500).

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

258700220 is a wasteful number, since it uses less digits than its factorization.

258700220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 258700220 is about 16084.1605314048. The cubic root of 258700220 is about 637.1850819323.

The spelling of 258700220 in words is "two hundred fifty-eight million, seven hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 3196 3995 7990 15980 16189 32378 64756 80945 161890 275213 323780 550426 760883 1100852 1376065 1521766 2752130 3043532 3804415 5504260 7608830 12935011 15217660 25870022 51740044 64675055 129350110 258700220