Search a number
-
+
2010332220 = 2235136593911
BaseRepresentation
bin111011111010011…
…0011110000111100
312012002210110100220
41313310303300330
513104121112340
6531252221340
7100550353611
oct16764636074
95162713326
102010332220
11941864396
1248130a850
132606541c0
14150dc8508
15bb753ed0
hex77d33c3c

2010332220 has 96 divisors (see below), whose sum is σ = 6072675840. Its totient is φ = 493973760.

The previous prime is 2010332201. The next prime is 2010332231. The reversal of 2010332220 is 222330102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010332220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512065 + ... + 515975.

It is an arithmetic number, because the mean of its divisors is an integer number (63257040).

Almost surely, 22010332220 is an apocalyptic number.

2010332220 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 2010332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036337920).

2010332220 is an abundant number, since it is smaller than the sum of its proper divisors (4062343620).

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

2010332220 is a wasteful number, since it uses less digits than its factorization.

2010332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2010332220 is about 44836.7284711987. The cubic root of 2010332220 is about 1262.0869546433.

Adding to 2010332220 its reverse (222330102), we get a palindrome (2232662322).

The spelling of 2010332220 in words is "two billion, ten million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 659 780 1318 1977 2636 3295 3911 3954 6590 7822 7908 8567 9885 11733 13180 15644 17134 19555 19770 23466 25701 34268 39110 39540 42835 46932 50843 51402 58665 78220 85670 101686 102804 117330 128505 152529 171340 203372 234660 254215 257010 305058 508430 514020 610116 762645 1016860 1525290 2577349 3050580 5154698 7732047 10309396 12886745 15464094 25773490 30928188 33505537 38660235 51546980 67011074 77320470 100516611 134022148 154640940 167527685 201033222 335055370 402066444 502583055 670110740 1005166110 2010332220