Search a number
-
+
203255325 = 34527131103
BaseRepresentation
bin11000001110101…
…10111000011101
3112011110102220000
430013112320131
5404013132300
632100244513
75015433060
oct1407267035
9464412800
10203255325
11a4806809
12580a0739
1333156c30
141cdcc8d7
1512c9dc00
hexc1d6e1d

203255325 has 120 divisors (see below), whose sum is σ = 463803648. Its totient is φ = 85691520.

The previous prime is 203255317. The next prime is 203255333. The reversal of 203255325 is 523552302.

It is an interprime number because it is at equal distance from previous prime (203255317) and next prime (203255333).

It is not a de Polignac number, because 203255325 - 23 = 203255317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 183724 + ... + 184826.

Almost surely, 2203255325 is an apocalyptic number.

203255325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

203255325 is an abundant number, since it is smaller than the sum of its proper divisors (260548323).

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

203255325 is a wasteful number, since it uses less digits than its factorization.

203255325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 203255325 is about 14256.7641840636. The cubic root of 203255325 is about 587.9593630808.

The spelling of 203255325 in words is "two hundred three million, two hundred fifty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 135 175 189 195 225 273 315 325 351 405 455 525 567 585 675 819 945 975 1053 1103 1365 1575 1755 2025 2275 2457 2835 2925 3309 4095 4725 5265 5515 6825 7371 7721 8775 9927 12285 14175 14339 16545 20475 23163 26325 27575 29781 36855 38605 43017 49635 61425 69489 71695 82725 89343 100373 115815 129051 148905 184275 193025 208467 215085 248175 301119 347445 358475 387153 446715 501865 579075 625401 645255 744525 903357 1042335 1075425 1161459 1505595 1737225 1935765 2233575 2509325 2710071 3127005 3226275 4516785 5211675 5807295 7527975 8130213 9678825 13550355 15635025 22583925 29036475 40651065 67751775 203255325