Search a number
-
+
2211932820 = 2235163226169
BaseRepresentation
bin1000001111010111…
…0110101010010100
312201011010211101210
42003311312222110
514012223322240
61003253221420
7105546055506
oct20365665224
95634124353
102211932820
11a3563a959
12518931870
1329334bbb6
1416daa5d76
15ce2c7780
hex83d76a94

2211932820 has 48 divisors (see below), whose sum is σ = 6231435840. Its totient is φ = 586227456.

The previous prime is 2211932797. The next prime is 2211932831. The reversal of 2211932820 is 282391122.

2211932820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103305 + ... + 122864.

It is an arithmetic number, because the mean of its divisors is an integer number (129821580).

Almost surely, 22211932820 is an apocalyptic number.

2211932820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211932820 is an abundant number, since it is smaller than the sum of its proper divisors (4019503020).

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

2211932820 is a wasteful number, since it uses less digits than its factorization.

2211932820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226344 (or 226342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2211932820 is about 47031.1898637489. The cubic root of 2211932820 is about 1302.9386814226.

The spelling of 2211932820 in words is "two billion, two hundred eleven million, nine hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 226169 452338 678507 904676 1130845 1357014 2261690 2714028 3392535 4523380 6785070 13570140 36865547 73731094 110596641 147462188 184327735 221193282 368655470 442386564 552983205 737310940 1105966410 2211932820