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2002323444 = 22311172921061
BaseRepresentation
bin111011101011001…
…0000011111110100
312011112201120101120
41313112100133310
513100043322234
6530404423540
7100422316452
oct16726203764
95145646346
102002323444
11938294270
1247a6a7bb0
1325baaba94
1414dd019d2
15babc1049
hex775907f4

2002323444 has 144 divisors (see below), whose sum is σ = 5594412096. Its totient is φ = 550860800.

The previous prime is 2002323439. The next prime is 2002323451. The reversal of 2002323444 is 4443232002.

It is a super-2 number, since 2×20023234442 = 8018598348784042272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886674 + ... + 1887734.

It is an arithmetic number, because the mean of its divisors is an integer number (38850084).

Almost surely, 22002323444 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 2002323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797206048).

2002323444 is an abundant number, since it is smaller than the sum of its proper divisors (3592088652).

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

2002323444 is a wasteful number, since it uses less digits than its factorization.

2002323444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2002323444 is about 44747.3289035223. The cubic root of 2002323444 is about 1260.4087537521.

Adding to 2002323444 its reverse (4443232002), we get a palindrome (6445555446).

The spelling of 2002323444 in words is "two billion, two million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 204 319 348 374 493 561 638 748 841 957 986 1061 1122 1276 1479 1682 1914 1972 2122 2244 2523 2958 3183 3364 3828 4244 5046 5423 5916 6366 9251 10092 10846 11671 12732 14297 16269 18037 18502 21692 23342 27753 28594 30769 32538 35013 36074 37004 42891 46684 54111 55506 57188 61538 65076 70026 72148 85782 92307 108222 111012 123076 140052 157267 171564 184614 198407 216444 314534 338459 369228 396814 471801 523073 595221 629068 676918 793628 892301 943602 1015377 1046146 1190442 1353836 1569219 1784602 1887204 2030754 2092292 2380884 2676903 3138438 3569204 4061508 5353806 5753803 6276876 9815311 10707612 11507606 15169117 17261409 19630622 23015212 29445933 30338234 34522818 39261244 45507351 58891866 60676468 69045636 91014702 117783732 166860287 182029404 333720574 500580861 667441148 1001161722 2002323444