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1819800216 = 2333133072111
BaseRepresentation
bin110110001110111…
…1111001010011000
311200211021102121000
41230131333022120
512211332101331
6500324345000
763045021663
oct15435771230
94624242530
101819800216
11854258923
12429545160
13230033580
1413398c6da
15a9b6a0e6
hex6c77f298

1819800216 has 128 divisors (see below), whose sum is σ = 5464166400. Its totient is φ = 557850240.

The previous prime is 1819800167. The next prime is 1819800239. The reversal of 1819800216 is 6120089181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861001 + ... + 863111.

It is an arithmetic number, because the mean of its divisors is an integer number (42688800).

Almost surely, 21819800216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732083200).

1819800216 is an abundant number, since it is smaller than the sum of its proper divisors (3644366184).

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

1819800216 is a wasteful number, since it uses less digits than its factorization.

1819800216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1819800216 is about 42659.1164465463. The cubic root of 1819800216 is about 1220.8844737331.

Adding to 1819800216 its reverse (6120089181), we get a palindrome (7939889397).

The spelling of 1819800216 in words is "one billion, eight hundred nineteen million, eight hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 307 312 351 468 614 702 921 936 1228 1404 1842 2111 2456 2763 2808 3684 3991 4222 5526 6333 7368 7982 8289 8444 11052 11973 12666 15964 16578 16888 18999 22104 23946 25332 27443 31928 33156 35919 37998 47892 50664 54886 56997 66312 71838 75996 82329 95784 107757 109772 113994 143676 151992 164658 215514 219544 227988 246987 287352 329316 431028 455976 493974 648077 658632 740961 862056 987948 1296154 1481922 1944231 1975896 2592308 2963844 3888462 5184616 5832693 5927688 7776924 8425001 11665386 15553848 16850002 17498079 23330772 25275003 33700004 34996158 46661544 50550006 67400008 69992316 75825009 101100012 139984632 151650018 202200024 227475027 303300036 454950054 606600072 909900108 1819800216