Search a number
-
+
1220989200 = 243525091999
BaseRepresentation
bin100100011000110…
…1101000100010000
310011002111200022020
41020301231010100
510000033123300
6321054011440
742154144164
oct11061550420
93132450266
101220989200
11577242292
122a0aa6b80
13165c62c22
14b8234ca4
15722d48a0
hex48c6d110

1220989200 has 120 divisors (see below), whose sum is σ = 3920880000. Its totient is φ = 324794880.

The previous prime is 1220989199. The next prime is 1220989213. The reversal of 1220989200 is 29890221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609801 + ... + 611799.

It is an arithmetic number, because the mean of its divisors is an integer number (32674000).

Almost surely, 21220989200 is an apocalyptic number.

1220989200 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 1220989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960440000).

1220989200 is an abundant number, since it is smaller than the sum of its proper divisors (2699890800).

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

1220989200 is a wasteful number, since it uses less digits than its factorization.

1220989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1220989200 is about 34942.6558807427. The cubic root of 1220989200 is about 1068.8184471056.

The spelling of 1220989200 in words is "one billion, two hundred twenty million, nine hundred eighty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 509 600 1018 1200 1527 1999 2036 2545 3054 3998 4072 5090 5997 6108 7635 7996 8144 9995 10180 11994 12216 12725 15270 15992 19990 20360 23988 24432 25450 29985 30540 31984 38175 39980 40720 47976 49975 50900 59970 61080 76350 79960 95952 99950 101800 119940 122160 149925 152700 159920 199900 203600 239880 299850 305400 399800 479760 599700 610800 799600 1017491 1199400 2034982 2398800 3052473 4069964 5087455 6104946 8139928 10174910 12209892 15262365 16279856 20349820 24419784 25437275 30524730 40699640 48839568 50874550 61049460 76311825 81399280 101749100 122098920 152623650 203498200 244197840 305247300 406996400 610494600 1220989200