Search a number
-
+
220214014403200 = 2752142748224863
BaseRepresentation
bin110010000100100010010010…
…000110100110001010000000
31001212201020212021221200202221
4302010202102012212022000
5212330441300141400300
62100204531023020424
764245636364630666
oct6204422206461200
91055636767850687
10220214014403200
116419226a188094
1220846b4ba3a714
1395b512817474c
143c545b5308c36
151a6d4128c531a
hexc848921a6280

220214014403200 has 96 divisors (see below), whose sum is σ = 544378661285760. Its totient is φ = 88023876111360.

The previous prime is 220214014403191. The next prime is 220214014403213. The reversal of 220214014403200 is 2304410412022.

It is a super-4 number, since 4×2202140144032004 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19546032 + ... + 28678831.

It is an arithmetic number, because the mean of its divisors is an integer number (5670611055060).

Almost surely, 2220214014403200 is an apocalyptic number.

220214014403200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220214014403200 is an abundant number, since it is smaller than the sum of its proper divisors (324164646882560).

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

220214014403200 is a wasteful number, since it uses less digits than its factorization.

220214014403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48226314 (or 48226297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 220214014403200 its reverse (2304410412022), we get a palindrome (222518424815222).

The spelling of 220214014403200 in words is "two hundred twenty trillion, two hundred fourteen billion, fourteen million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1427 1600 2854 3200 5708 7135 11416 14270 22832 28540 35675 45664 57080 71350 91328 114160 142700 182656 228320 285400 456640 570800 913280 1141600 2283200 4566400 48224863 96449726 192899452 241124315 385798904 482248630 771597808 964497260 1205621575 1543195616 1928994520 2411243150 3086391232 3857989040 4822486300 6172782464 7715978080 9644972600 15431956160 19289945200 30863912320 38579890400 68816879501 77159780800 137633759002 154319561600 275267518004 344084397505 550535036008 688168795010 1101070072016 1376337590020 1720421987525 2202140144032 2752675180040 3440843975050 4404280288064 5505350360080 6881687950100 8808560576128 11010700720160 13763375900200 22021401440320 27526751800400 44042802880640 55053503600800 110107007201600 220214014403200