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2165561420 = 22511313111021
BaseRepresentation
bin1000000100010011…
…1101100001001100
312120220212220210112
42001010331201030
513413340431140
6554515255152
7104443653101
oct20104754114
95526786715
102165561420
11a11448390
125052aa4b8
132868642b9
14167874aa8
15ca1b7c65
hex8113d84c

2165561420 has 96 divisors (see below), whose sum is σ = 5142638592. Its totient is φ = 758880000.

The previous prime is 2165561353. The next prime is 2165561441. The reversal of 2165561420 is 241655612.

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, 2120510 + ... + 2121530.

It is an arithmetic number, because the mean of its divisors is an integer number (53569152).

Almost surely, 22165561420 is an apocalyptic number.

2165561420 is a gapful number since it is divisible by the number (20) 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 2165561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571319296).

2165561420 is an abundant number, since it is smaller than the sum of its proper divisors (2977077172).

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

2165561420 is a wasteful number, since it uses less digits than its factorization.

2165561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2165561420 is about 46535.5930444644. The cubic root of 2165561420 is about 1293.7692813917.

The spelling of 2165561420 in words is "two billion, one hundred sixty-five million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 311 341 620 622 682 1021 1244 1364 1555 1705 2042 3110 3410 3421 4084 5105 6220 6820 6842 9641 10210 11231 13684 17105 19282 20420 22462 31651 34210 38564 44924 48205 56155 63302 68420 96410 106051 112310 126604 158255 192820 212102 224620 316510 317531 348161 424204 530255 633020 635062 696322 1060510 1270124 1392644 1587655 1740805 2121020 3175310 3481610 3492841 6350620 6963220 6985682 9843461 13971364 17464205 19686922 34928410 39373844 49217305 69856820 98434610 108278071 196869220 216556142 433112284 541390355 1082780710 2165561420