Search a number
-
+
208270125 = 3253753499
BaseRepresentation
bin11000110100111…
…11001100101101
3112111220012220100
430122133030231
5411304121000
632355541313
75106160350
oct1432371455
9474805810
10208270125
11a7621478
12598ba839
13341c167b
141d936297
151343ea00
hexc69f32d

208270125 has 96 divisors (see below), whose sum is σ = 438048000. Its totient is φ = 93225600.

The previous prime is 208270123. The next prime is 208270133. The reversal of 208270125 is 521072802.

It is not a de Polignac number, because 208270125 - 21 = 208270123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208270123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417126 + ... + 417624.

It is an arithmetic number, because the mean of its divisors is an integer number (4563000).

Almost surely, 2208270125 is an apocalyptic number.

208270125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208270125 is an abundant number, since it is smaller than the sum of its proper divisors (229777875).

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

208270125 is a wasteful number, since it uses less digits than its factorization.

208270125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 208270125 is about 14431.5669627383. The cubic root of 208270125 is about 592.7555912713.

The spelling of 208270125 in words is "two hundred eight million, two hundred seventy thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 125 159 175 225 265 315 371 375 477 499 525 795 875 1113 1125 1325 1497 1575 1855 2385 2495 2625 3339 3493 3975 4491 5565 6625 7485 7875 9275 10479 11925 12475 16695 17465 19875 22455 26447 27825 31437 37425 46375 52395 59625 62375 79341 83475 87325 112275 132235 139125 157185 185129 187125 238023 261975 396705 417375 436625 555387 561375 661175 785925 925645 1190115 1309875 1666161 1983525 2776935 3305875 3929625 4628225 5950575 8330805 9917625 13884675 23141125 29752875 41654025 69423375 208270125