Search a number
-
+
22003030340 = 2254389389739
BaseRepresentation
bin10100011111011110…
…111001100101000100
32002210102120202022122
4110133132321211010
5330030233432330
614035201145112
71406153446334
oct243736714504
962712522278
1022003030340
1193711563a5
12432092b198
1320c86733a5
1410ca32d0c4
1588ba2b5e5
hex51f7b9944

22003030340 has 96 divisors (see below), whose sum is σ = 47999952000. Its totient is φ = 8466619392.

The previous prime is 22003030219. The next prime is 22003030349. The reversal of 22003030340 is 4303030022.

It is not an unprimeable number, because it can be changed into a prime (22003030349) by changing a digit.

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, 29773691 + ... + 29774429.

It is an arithmetic number, because the mean of its divisors is an integer number (499999500).

Almost surely, 222003030340 is an apocalyptic number.

22003030340 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 22003030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999976000).

22003030340 is an abundant number, since it is smaller than the sum of its proper divisors (25996921660).

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

22003030340 is a wasteful number, since it uses less digits than its factorization.

22003030340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 22003030340 its reverse (4303030022), we get a palindrome (26306060362).

The spelling of 22003030340 in words is "twenty-two billion, three million, thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 89 172 178 215 356 389 430 445 739 778 860 890 1478 1556 1780 1945 2956 3695 3827 3890 7390 7654 7780 14780 15308 16727 19135 31777 33454 34621 38270 63554 65771 66908 69242 76540 83635 127108 131542 138484 158885 167270 173105 263084 287471 317770 328855 334540 346210 574942 635540 657710 692420 1149884 1315420 1437355 1488703 2828153 2874710 2977406 5656306 5749420 5954812 7443515 11312612 12361253 14140765 14887030 24722506 25584919 28281530 29774060 49445012 51169838 56563060 61806265 102339676 123612530 127924595 247225060 255849190 511698380 1100151517 2200303034 4400606068 5500757585 11001515170 22003030340