Search a number
-
+
227520545720 = 2351323127149791
BaseRepresentation
bin1101001111100101001…
…0000000001110111000
3210202021022001021000112
43103321102000032320
512211430224430340
6252304350523452
722303112505116
oct3237122001670
9722238037015
10227520545720
1188544464566
1238118206588
13185bbac9760
14b025106ab6
155db9580065
hex34f94803b8

227520545720 has 128 divisors (see below), whose sum is σ = 579802890240. Its totient is φ = 79721832960.

The previous prime is 227520545719. The next prime is 227520545753. The reversal of 227520545720 is 27545025722.

It is a super-3 number, since 3×2275205457203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444025 + ... + 1593815.

It is an arithmetic number, because the mean of its divisors is an integer number (4529710080).

Almost surely, 2227520545720 is an apocalyptic number.

227520545720 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 227520545720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289901445120).

227520545720 is an abundant number, since it is smaller than the sum of its proper divisors (352282344520).

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

227520545720 is a wasteful number, since it uses less digits than its factorization.

227520545720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149965 (or 149961 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 41.

The spelling of 227520545720 in words is "two hundred twenty-seven billion, five hundred twenty million, five hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 127 130 184 230 254 260 299 460 508 520 598 635 920 1016 1196 1270 1495 1651 2392 2540 2921 2990 3302 5080 5842 5980 6604 8255 11684 11960 13208 14605 16510 23368 29210 33020 37973 58420 66040 75946 116840 149791 151892 189865 299582 303784 379730 599164 748955 759460 1198328 1497910 1518920 1947283 2995820 3445193 3894566 5991640 6890386 7789132 9736415 13780772 15578264 17225965 19023457 19472830 27561544 34451930 38046914 38945660 44787509 68903860 76093828 77891320 89575018 95117285 137807720 152187656 179150036 190234570 223937545 247304941 358300072 380469140 437539511 447875090 494609882 760938280 875079022 895750180 989219764 1236524705 1750158044 1791500360 1978439528 2187697555 2473049410 3500316088 4375395110 4946098820 5688013643 8750790220 9892197640 11376027286 17501580440 22752054572 28440068215 45504109144 56880136430 113760272860 227520545720