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272632230 = 234513171523
BaseRepresentation
bin10000010000000…
…000100110100110
3201000000011010000
4100100000212212
51024243212410
643015242130
76520223103
oct2020004646
9630004100
10272632230
1112a9916a2
1277379346
1344637c60
14282cbaaa
1518e04dc0
hex104009a6

272632230 has 160 divisors (see below), whose sum is σ = 836456544. Its totient is φ = 63120384.

The previous prime is 272632223. The next prime is 272632267. The reversal of 272632230 is 32236272.

272632230 is a `hidden beast` number, since 2 + 7 + 2 + 632 + 23 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 272632194 and 272632203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178249 + ... + 179771.

Almost surely, 2272632230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272632230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418228272).

272632230 is an abundant number, since it is smaller than the sum of its proper divisors (563824314).

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

272632230 is a wasteful number, since it uses less digits than its factorization.

272632230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 272632230 is about 16511.5786646826. The cubic root of 272632230 is about 648.4239766532.

The spelling of 272632230 in words is "two hundred seventy-two million, six hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1523 1530 1755 1989 2106 2210 2295 2754 3046 3315 3510 3978 4569 4590 5265 5967 6630 6885 7615 9138 9945 10530 11934 13707 13770 15230 17901 19799 19890 22845 25891 27414 29835 35802 39598 41121 45690 51782 59397 59670 68535 77673 82242 89505 98995 118794 123363 129455 137070 155346 178191 179010 197990 205605 233019 246726 258910 296985 336583 356382 388365 411210 466038 534573 593970 616815 673166 699057 776730 890955 1009749 1069146 1165095 1233630 1398114 1603719 1682915 1781910 2019498 2097171 2330190 2672865 3029247 3207438 3365830 3495285 4194342 5048745 5345730 6058494 6990570 8018595 9087741 10097490 10485855 15146235 16037190 18175482 20971710 27263223 30292470 45438705 54526446 90877410 136316115 272632230