Search a number
-
+
2200001020 = 225722244899
BaseRepresentation
bin1000001100100001…
…0101100111111100
312200022200122001021
42003020111213330
514001200013040
61002145353524
7105342462100
oct20310254774
95608618037
102200001020
11a29930368
125149388a4
13290a31c69
1416c27b900
15cd21c24a
hex832159fc

2200001020 has 36 divisors (see below), whose sum is σ = 5374290600. Its totient is φ = 754285728.

The previous prime is 2200001003. The next prime is 2200001021. The reversal of 2200001020 is 201000022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2200000994 and 2200001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200001021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1121470 + ... + 1123429.

It is an arithmetic number, because the mean of its divisors is an integer number (149285850).

Almost surely, 22200001020 is an apocalyptic number.

2200001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200001020 is an abundant number, since it is smaller than the sum of its proper divisors (3174289580).

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

2200001020 is a wasteful number, since it uses less digits than its factorization.

2200001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244922 (or 2244913 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2200001020 is about 46904.1684714696. The cubic root of 2200001020 is about 1300.5916478519.

Adding to 2200001020 its reverse (201000022), we get a palindrome (2401001042).

The spelling of 2200001020 in words is "two billion, two hundred million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2244899 4489798 8979596 11224495 15714293 22448990 31428586 44897980 62857172 78571465 110000051 157142930 220000102 314285860 440000204 550000255 1100000510 2200001020