Search a number
-
+
215444105220300 = 2235211127751124583
BaseRepresentation
bin110000111111000111111101…
…010111000101000011001100
31001020211020220010022010212120
4300333013331113011003030
5211214314011414022200
62042113353335132540
763244215524556345
oct6077077527050314
91036736803263776
10215444105220300
1162713371865010
12201b6616b14150
13932a3a4541588
143b2b79c16d0cc
1519d92e01e09a0
hexc3f1fd5c50cc

215444105220300 has 144 divisors (see below), whose sum is σ = 680552466354432. Its totient is φ = 52187973305600.

The previous prime is 215444105220199. The next prime is 215444105220301. The reversal of 215444105220300 is 3022501444512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (215444105220301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21348192 + ... + 29776391.

It is an arithmetic number, because the mean of its divisors is an integer number (4726058794128).

Almost surely, 2215444105220300 is an apocalyptic number.

215444105220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215444105220300 is an abundant number, since it is smaller than the sum of its proper divisors (465108361134132).

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

215444105220300 is a wasteful number, since it uses less digits than its factorization.

215444105220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51125888 (or 51125881 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 215444105220300 its reverse (3022501444512), we get a palindrome (218466606664812).

The spelling of 215444105220300 in words is "two hundred fifteen trillion, four hundred forty-four billion, one hundred five million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1277 1650 2554 3300 3831 5108 6385 7662 12770 14047 15324 19155 25540 28094 31925 38310 42141 56188 63850 70235 76620 84282 95775 127700 140470 168564 191550 210705 280940 351175 383100 421410 702350 842820 1053525 1404700 2107050 4214100 51124583 102249166 153373749 204498332 255622915 306747498 511245830 562370413 613494996 766868745 1022491660 1124740826 1278114575 1533737490 1687111239 2249481652 2556229150 2811852065 3067474980 3374222478 3834343725 5112458300 5623704130 6748444956 7668687450 8435556195 11247408260 14059260325 15337374900 16871112390 28118520650 33742224780 42177780975 56237041300 65286092491 84355561950 130572184982 168711123900 195858277473 261144369964 326430462455 391716554946 652860924910 718147017401 783433109892 979291387365 1305721849820 1436294034802 1632152312275 1958582774730 2154441052203 2872588069604 3264304624550 3590735087005 3917165549460 4308882104406 4896456936825 6528609249100 7181470174010 8617764208812 9792913873650 10772205261015 14362940348020 17953675435025 19585827747300 21544410522030 35907350870050 43088821044060 53861026305075 71814701740100 107722052610150 215444105220300