Search a number
-
+
1216490220 = 22325113119819
BaseRepresentation
bin100100010000010…
…0010101011101100
310010210001002212100
41020200202223230
54442410141340
6320413335100
742100665501
oct11040425354
93123032770
101216490220
1157474a120
1229b497490
131650491ca
14b77c34a8
1571be6830
hex48822aec

1216490220 has 144 divisors (see below), whose sum is σ = 4155540480. Its totient is φ = 285379200.

The previous prime is 1216490161. The next prime is 1216490221. The reversal of 1216490220 is 220946121.

1216490220 is a `hidden beast` number, since 12 + 1 + 649 + 0 + 2 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1216490221) 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, 51471 + ... + 71289.

It is an arithmetic number, because the mean of its divisors is an integer number (28857920).

Almost surely, 21216490220 is an apocalyptic number.

1216490220 is a gapful number since it is divisible by the number (10) 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 1216490220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077770240).

1216490220 is an abundant number, since it is smaller than the sum of its proper divisors (2939050260).

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

1216490220 is a wasteful number, since it uses less digits than its factorization.

1216490220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19876 (or 19871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1216490220 is about 34878.2198513628. The cubic root of 1216490220 is about 1067.5040726589.

The spelling of 1216490220 in words is "one billion, two hundred sixteen million, four hundred ninety thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 19819 20460 30690 39638 59457 61380 79276 99095 118914 178371 198190 218009 237828 297285 356742 396380 436018 594570 614389 654027 713484 872036 891855 1090045 1189140 1228778 1308054 1783710 1843167 1962081 2180090 2457556 2616108 3071945 3270135 3567420 3686334 3924162 4360180 5529501 6143890 6540270 6758279 7372668 7848324 9215835 9810405 11059002 12287780 13080540 13516558 18431670 19620810 20274837 22118004 27033116 27647505 33791395 36863340 39241620 40549674 55295010 60824511 67582790 81099348 101374185 110590020 121649022 135165580 202748370 243298044 304122555 405496740 608245110 1216490220