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2234311212 = 2237271109491
BaseRepresentation
bin1000010100101100…
…1110001000101100
312202201020202210010
42011023032020230
514033440424322
61005413013220
7106240221600
oct20513161054
95681222703
102234311212
11a472350a1
12524324210
13297b85a53
14172a4d500
15d124820c
hex852ce22c

2234311212 has 144 divisors (see below), whose sum is σ = 6219037440. Its totient is φ = 622339200.

The previous prime is 2234311199. The next prime is 2234311229. The reversal of 2234311212 is 2121134322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4550287 + ... + 4550777.

It is an arithmetic number, because the mean of its divisors is an integer number (43187760).

Almost surely, 22234311212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109518720).

2234311212 is an abundant number, since it is smaller than the sum of its proper divisors (3984726228).

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

2234311212 is a wasteful number, since it uses less digits than its factorization.

2234311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2234311212 is about 47268.5012666998. The cubic root of 2234311212 is about 1307.3179420575.

Adding to 2234311212 its reverse (2121134322), we get a palindrome (4355445534).

The spelling of 2234311212 in words is "two billion, two hundred thirty-four million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 109 142 147 196 213 218 284 294 327 426 436 491 497 588 654 763 852 982 994 1308 1473 1491 1526 1964 1988 2289 2946 2982 3052 3437 3479 4578 5341 5892 5964 6874 6958 7739 9156 10311 10437 10682 13748 13916 15478 16023 20622 20874 21364 23217 24059 30956 32046 34861 41244 41748 46434 48118 53519 54173 64092 69722 72177 92868 96236 104583 107038 108346 139444 144354 160557 162519 209166 214076 216692 244027 288708 321114 325038 374633 379211 418332 488054 642228 650076 732081 749266 758422 976108 1123899 1137633 1464162 1498532 1516844 1708189 2247798 2275266 2622431 2928324 3416378 3799849 4495596 4550532 5124567 5244862 6832756 7599698 7867293 10249134 10489724 11399547 15199396 15734586 20498268 22799094 26598943 31469172 45598188 53197886 79796829 106395772 159593658 186192601 319187316 372385202 558577803 744770404 1117155606 2234311212