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2215204112 = 241125321589
BaseRepresentation
bin1000010000001001…
…0101010100010000
312201101022000202202
42010002111110100
514014043012422
61003451302332
7105615632012
oct20402252420
95641260682
102215204112
11a37474700
12519a4a9a8
13293c25b84
141702b81b2
15ce721b92
hex84095510

2215204112 has 60 divisors (see below), whose sum is σ = 4806840780. Its totient is φ = 987866880.

The previous prime is 2215204087. The next prime is 2215204133. The reversal of 2215204112 is 2114025122.

It can be written as a sum of positive squares in 2 ways, for example, as 1330498576 + 884705536 = 36476^2 + 29744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91814 + ... + 113402.

It is an arithmetic number, because the mean of its divisors is an integer number (80114013).

Almost surely, 22215204112 is an apocalyptic number.

2215204112 is a gapful number since it is divisible by the number (22) 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 2215204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403420390).

2215204112 is an abundant number, since it is smaller than the sum of its proper divisors (2591636668).

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

2215204112 is a wasteful number, since it uses less digits than its factorization.

2215204112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21672 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2215204112 is about 47065.9549143540. The cubic root of 2215204112 is about 1303.5806830485.

Adding to 2215204112 its reverse (2114025122), we get a palindrome (4329229234).

The spelling of 2215204112 in words is "two billion, two hundred fifteen million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2332 4664 6413 9328 12826 21589 25652 43178 51304 86356 102608 172712 237479 345424 474958 949916 1144217 1899832 2288434 2612269 3799664 4576868 5224538 9153736 10449076 12586387 18307472 20898152 25172774 41796304 50345548 100691096 138450257 201382192 276900514 553801028 1107602056 2215204112