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2235432012 = 22311413171303
BaseRepresentation
bin1000010100111101…
…1111110001001100
312202210100201020020
42011033133301030
514034232311022
61005453022140
7106252600332
oct20517376114
95683321206
102235432012
11a47930180
12524784950
13298188c48
14172c61b52
15d13ba35c
hex853dfc4c

2235432012 has 96 divisors (see below), whose sum is σ = 5851851264. Its totient is φ = 658291200.

The previous prime is 2235431987. The next prime is 2235432049. The reversal of 2235432012 is 2102345322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714953 + ... + 1716255.

It is an arithmetic number, because the mean of its divisors is an integer number (60956784).

Almost surely, 22235432012 is an apocalyptic number.

2235432012 is a gapful number since it is divisible by the number (22) 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 2235432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925925632).

2235432012 is an abundant number, since it is smaller than the sum of its proper divisors (3616419252).

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

2235432012 is a wasteful number, since it uses less digits than its factorization.

2235432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2235432012 is about 47280.3554555166. The cubic root of 2235432012 is about 1307.5365026301.

Adding to 2235432012 its reverse (2102345322), we get a palindrome (4337777334).

The spelling of 2235432012 in words is "two billion, two hundred thirty-five million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 317 451 492 634 902 951 1268 1303 1353 1804 1902 2606 2706 3487 3804 3909 5212 5412 6974 7818 10461 12997 13948 14333 15636 20922 25994 28666 38991 41844 42999 51988 53423 57332 77982 85998 106846 142967 155964 160269 171996 213692 285934 320538 413051 428901 571868 587653 641076 826102 857802 1175306 1239153 1652204 1715604 1762959 2350612 2478306 3525918 4543561 4956612 7051836 9087122 13630683 16935091 18174244 27261366 33870182 50805273 54522732 67740364 101610546 186286001 203221092 372572002 558858003 745144004 1117716006 2235432012