Search a number
-
+
2212200020 = 2251989149439
BaseRepresentation
bin1000001111011011…
…0111111001010100
312201011122101221002
42003312313321110
514012310400040
61003303042432
7105551250512
oct20366677124
95634571832
102212200020
11a35802688
12518a40418
132934136c4
1416db354b2
15ce32ba15
hex83db7e54

2212200020 has 96 divisors (see below), whose sum is σ = 4989600000. Its totient is φ = 821449728.

The previous prime is 2212199999. The next prime is 2212200043. The reversal of 2212200020 is 200022122.

2212200020 = T173 + T174 + ... + T2367.

It is a junction number, because it is equal to n+sod(n) for n = 2212199974 and 2212200010.

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, 5038961 + ... + 5039399.

It is an arithmetic number, because the mean of its divisors is an integer number (51975000).

Almost surely, 22212200020 is an apocalyptic number.

2212200020 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 2212200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494800000).

2212200020 is an abundant number, since it is smaller than the sum of its proper divisors (2777399980).

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

2212200020 is a wasteful number, since it uses less digits than its factorization.

2212200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2212200020 is about 47034.0304460504. The cubic root of 2212200020 is about 1302.9911440163.

Adding to 2212200020 its reverse (200022122), we get a palindrome (2412222142).

The spelling of 2212200020 in words is "two billion, two hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 149 178 190 298 356 380 439 445 596 745 878 890 1490 1691 1756 1780 2195 2831 2980 3382 4390 5662 6764 8341 8455 8780 11324 13261 14155 16682 16910 26522 28310 33364 33820 39071 41705 53044 56620 65411 66305 78142 83410 130822 132610 156284 166820 195355 251959 261644 265220 327055 390710 503918 654110 742349 781420 1007836 1242809 1259795 1308220 1484698 2485618 2519590 2969396 3711745 4971236 5039180 5821579 6214045 7423490 11643158 12428090 14846980 23286316 24856180 29107895 58215790 110610001 116431580 221220002 442440004 553050005 1106100010 2212200020