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2002442442 = 2371113379011
BaseRepresentation
bin111011101011010…
…1101100011001010
312011112221121121220
41313112231203022
513100111124232
6530411142510
7100423323420
oct16726554312
95145847556
102002442442
11938365710
1247a744a36
1325bb20cb0
1414dd33110
15babe642c
hex775ad8ca

2002442442 has 128 divisors (see below), whose sum is σ = 5523130368. Its totient is φ = 467078400.

The previous prime is 2002442437. The next prime is 2002442483. The reversal of 2002442442 is 2442442002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217717 + ... + 226727.

It is an arithmetic number, because the mean of its divisors is an integer number (43149456).

Almost surely, 22002442442 is an apocalyptic number.

2002442442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002442442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761565184).

2002442442 is an abundant number, since it is smaller than the sum of its proper divisors (3520687926).

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

2002442442 is a wasteful number, since it uses less digits than its factorization.

2002442442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2002442442 is about 44748.6585497264. The cubic root of 2002442442 is about 1260.4337219377.

Adding to 2002442442 its reverse (2442442002), we get a palindrome (4444884444).

It can be divided in two parts, 2002 and 442442, that added together give a palindrome (444444).

The spelling of 2002442442 in words is "two billion, two million, four hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 9011 10101 10582 15873 17094 18022 20202 27033 31746 37037 54066 63077 74074 99121 111111 117143 126154 189231 198242 222222 234286 297363 333407 351429 378462 594726 666814 693847 702858 820001 1000221 1288573 1387694 1640002 2000442 2081541 2333849 2460003 2577146 3667477 3865719 4163082 4334291 4667698 4920006 7001547 7334954 7731438 8668582 9020011 11002431 13002873 14003094 18040022 22004862 25672339 26005746 27060033 30340037 47677201 51344678 54120066 60680074 77017017 91020111 95354402 143031603 154034034 182040222 286063206 333740407 667480814 1001221221 2002442442