Search a number
-
+
194860444900 = 225211240132
BaseRepresentation
bin1011010101111010010…
…1100110110011100100
3200121222011022020022211
42311132211212303210
511143033233214100
6225303451333204
720035552311232
oct2653645466344
9617864266284
10194860444900
1175704706400
1231922451204
13154b55aa904
149607693952
1551071531ba
hex2d5e966ce4

194860444900 has 81 divisors (see below), whose sum is σ = 464898269563. Its totient is φ = 70840686400.

The previous prime is 194860444861. The next prime is 194860444913. The reversal of 194860444900 is 9444068491.

The square root of 194860444900 is 441430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10139281636 + 184721163264 = 100694^2 + 429792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48555294 + ... + 48559306.

Almost surely, 2194860444900 is an apocalyptic number.

194860444900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

194860444900 is the 441430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194860444900

194860444900 is an abundant number, since it is smaller than the sum of its proper divisors (270037824663).

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

194860444900 is an equidigital number, since it uses as much as digits as its factorization.

194860444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 194860444900 by its sum of digits (49), we get a square (9548161800100 = 30900102).

The spelling of 194860444900 in words is "one hundred ninety-four billion, eight hundred sixty million, four hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 4013 6050 8026 12100 16052 20065 40130 44143 80260 88286 100325 176572 200650 220715 401300 441430 485573 882860 971146 1103575 1942292 2207150 2427865 4414300 4855730 9711460 12139325 16104169 24278650 32208338 48557300 64416676 80520845 161041690 177145859 322083380 354291718 402604225 708583436 805208450 885729295 1610416900 1771458590 1948604449 3542917180 3897208898 4428646475 7794417796 8857292950 9743022245 17714585900 19486044490 38972088980 48715111225 97430222450 194860444900