Search a number
-
+
2216870760 = 2335133145841
BaseRepresentation
bin1000010000100010…
…1100001101101000
312201111102200222110
42010020230031220
514020004331020
61003551122320
7105636043026
oct20410541550
95644380873
102216870760
11a384028a5
1251a5133a0
1329438a660
141705cd716
15ce9508e0
hex8422c368

2216870760 has 128 divisors (see below), whose sum is σ = 7393397760. Its totient is φ = 528076800.

The previous prime is 2216870753. The next prime is 2216870767. The reversal of 2216870760 is 670786122.

It is an interprime number because it is at equal distance from previous prime (2216870753) and next prime (2216870767).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2216870767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25440 + ... + 71280.

It is an arithmetic number, because the mean of its divisors is an integer number (57760920).

Almost surely, 22216870760 is an apocalyptic number.

2216870760 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 2216870760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696698880).

2216870760 is an abundant number, since it is smaller than the sum of its proper divisors (5176527000).

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

2216870760 is a wasteful number, since it uses less digits than its factorization.

2216870760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45899 (or 45895 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2216870760 is about 47083.6570372353. The cubic root of 2216870760 is about 1303.9075250893.

The spelling of 2216870760 in words is "two billion, two hundred sixteen million, eight hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 45841 48360 91682 137523 183364 229205 275046 366728 458410 550092 595933 687615 916820 1100184 1191866 1375230 1421071 1787799 1833640 2383732 2750460 2842142 2979665 3575598 4263213 4767464 5500920 5684284 5959330 7105355 7151196 8526426 8938995 11368568 11918660 14210710 14302392 17052852 17877990 18473923 21316065 23837320 28421420 34105704 35755980 36947846 42632130 55421769 56842840 71511960 73895692 85264260 92369615 110843538 147791384 170528520 184739230 221687076 277108845 369478460 443374152 554217690 738956920 1108435380 2216870760