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336825225 = 325211236197
BaseRepresentation
bin10100000100111…
…000101110001001
3212110210111100100
4110010320232021
51142211401400
653231200013
711226652512
oct2404705611
9773714310
10336825225
11163146860
1294976009
1354a22589
1432a3ba09
151e885100
hex14138b89

336825225 has 144 divisors (see below), whose sum is σ = 705204864. Its totient is φ = 152064000.

The previous prime is 336825197. The next prime is 336825283. The reversal of 336825225 is 522528633.

It is not a de Polignac number, because 336825225 - 26 = 336825161 is a prime.

It is a super-2 number, since 2×3368252252 = 226902464392601250, which contains 22 as substring.

Its product of digits (86400) is a multiple of the sum of its prime divisors (200).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 336825225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3472377 + ... + 3472473.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2336825225 is an apocalyptic number.

It is an amenable number.

336825225 is an abundant number, since it is smaller than the sum of its proper divisors (368379639).

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

336825225 is a wasteful number, since it uses less digits than its factorization.

336825225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 336825225 is about 18352.7988328756. The cubic root of 336825225 is about 695.7740113013.

The spelling of 336825225 in words is "three hundred thirty-six million, eight hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 61 69 75 97 99 115 165 183 207 225 253 275 291 305 345 485 495 549 575 671 759 825 873 915 1035 1067 1265 1403 1455 1525 1725 2013 2231 2277 2425 2475 2745 3201 3355 3795 4209 4365 4575 5175 5335 5917 6039 6325 6693 7015 7275 9603 10065 11155 11385 12627 13725 15433 16005 16775 17751 18975 20079 21045 21825 24541 26675 29585 30195 33465 35075 46299 48015 50325 53253 55775 56925 63135 65087 73623 77165 80025 88755 100395 105225 122705 136091 138897 147925 150975 167325 195261 220869 231495 240075 266265 315675 325435 368115 385825 408273 443775 501975 585783 613525 680455 694485 976305 1104345 1157475 1224819 1331325 1497001 1627175 1840575 2041365 2928915 3402275 3472425 4491003 4881525 5521725 6124095 7485005 10206825 13473009 14644575 22455015 30620475 37425025 67365045 112275075 336825225