Search a number
-
+
2213861120 = 2852935903
BaseRepresentation
bin1000001111110100…
…1101011100000000
312201021202210112022
42003331031130000
514013222023440
61003402421012
7105601336412
oct20375153400
95637683468
102213861120
11a36737699
12519501768
132938757c3
141700489b2
15ce558cb5
hex83f4d700

2213861120 has 72 divisors (see below), whose sum is σ = 5321889216. Its totient is φ = 882372608.

The previous prime is 2213861107. The next prime is 2213861129. The reversal of 2213861120 is 211683122.

It is a self number, because there is not a number n which added to its sum of digits gives 2213861120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213861129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372089 + ... + 377991.

It is an arithmetic number, because the mean of its divisors is an integer number (73915128).

Almost surely, 22213861120 is an apocalyptic number.

2213861120 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 2213861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660944608).

2213861120 is an abundant number, since it is smaller than the sum of its proper divisors (3108028096).

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

2213861120 is an equidigital number, since it uses as much as digits as its factorization.

2213861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2213861120 is about 47051.6856233653. The cubic root of 2213861120 is about 1303.3171930565.

The spelling of 2213861120 in words is "two billion, two hundred thirteen million, eight hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 586 640 1172 1280 1465 2344 2930 4688 5860 5903 9376 11720 11806 18752 23440 23612 29515 37504 46880 47224 59030 75008 93760 94448 118060 187520 188896 236120 375040 377792 472240 755584 944480 1511168 1729579 1888960 3459158 3777920 6918316 7555840 8647895 13836632 17295790 27673264 34591580 55346528 69183160 110693056 138366320 221386112 276732640 442772224 553465280 1106930560 2213861120