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272217330 = 232571123571
BaseRepresentation
bin10000001110011…
…011010011110010
3200222020001222100
4100032123103302
51024141423310
643002321230
76513544350
oct2016332362
9628201870
10272217330
1112a728a00
12771b9216
1344521158
14282207d0
1518d71ec0
hex1039b4f2

272217330 has 144 divisors (see below), whose sum is σ = 889342272. Its totient is φ = 56548800.

The previous prime is 272217329. The next prime is 272217353. The reversal of 272217330 is 33712272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 272217294 and 272217303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74445 + ... + 78015.

It is an arithmetic number, because the mean of its divisors is an integer number (6175988).

Almost surely, 2272217330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272217330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444671136).

272217330 is an abundant number, since it is smaller than the sum of its proper divisors (617124942).

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

272217330 is a wasteful number, since it uses less digits than its factorization.

272217330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 272217330 is about 16499.0099702982. The cubic root of 272217330 is about 648.0948792257.

The spelling of 272217330 in words is "two hundred seventy-two million, two hundred seventeen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1210 1386 1694 1815 2178 2310 2541 3465 3571 3630 4235 5082 5445 6930 7142 7623 8470 10713 10890 12705 15246 17855 21426 24997 25410 32139 35710 38115 39281 49994 53565 64278 74991 76230 78562 107130 117843 124985 149982 160695 196405 224973 235686 249970 274967 321390 353529 374955 392810 432091 449946 549934 589215 707058 749910 824901 864182 1124865 1178430 1296273 1374835 1649802 1767645 2160455 2249730 2474703 2592546 2749670 3024637 3535290 3888819 4124505 4320910 4949406 6049274 6481365 7777638 8249010 9073911 12373515 12962730 15123185 18147822 19444095 24747030 27221733 30246370 38888190 45369555 54443466 90739110 136108665 272217330