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220125360 = 243571310079
BaseRepresentation
bin11010001111011…
…01100010110000
3120100012112020010
431013231202300
5422323002420
633502014520
75312014620
oct1507554260
9510175203
10220125360
11103289494
1261877440
13367b27c0
1421340880
15144d24e0
hexd1ed8b0

220125360 has 160 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 46439424.

The previous prime is 220125343. The next prime is 220125397. The reversal of 220125360 is 63521022.

220125360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16801 + ... + 26879.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2220125360 is an apocalyptic number.

220125360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

220125360 is an abundant number, since it is smaller than the sum of its proper divisors (619820880).

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

220125360 is a wasteful number, since it uses less digits than its factorization.

220125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 220125360 is about 14836.6222571042. The cubic root of 220125360 is about 603.7957147249.

Adding to 220125360 its reverse (63521022), we get a palindrome (283646382).

It can be divided in two parts, 22012 and 5360, that added together give a palindrome (27372).

The spelling of 220125360 in words is "two hundred twenty million, one hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10079 10920 20158 21840 30237 40316 50395 60474 70553 80632 100790 120948 131027 141106 151185 161264 201580 211659 241896 262054 282212 302370 352765 393081 403160 423318 483792 524108 564424 604740 655135 705530 786162 806320 846636 917189 1048216 1058295 1128848 1209480 1310270 1411060 1572324 1693272 1834378 1965405 2096432 2116590 2418960 2620540 2751567 2822120 3144648 3386544 3668756 3930810 4233180 4585945 5241080 5503134 5644240 6289296 7337512 7861620 8466360 9171890 10482160 11006268 13757835 14675024 15723240 16932720 18343780 22012536 27515670 31446480 36687560 44025072 55031340 73375120 110062680 220125360