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4022102340 = 2232531770489
BaseRepresentation
bin1110111110111100…
…0110100101000100
3101101022021222011100
43233233012211010
531214124233330
61503035340100
7201446206614
oct35757064504
911338258140
104022102340
111784410023
12942bb1630
134c138ca19
142a2268a44
1518818e060
hexefbc6944

4022102340 has 72 divisors (see below), whose sum is σ = 12239037720. Its totient is φ = 1069161984.

The previous prime is 4022102339. The next prime is 4022102341. The reversal of 4022102340 is 432012204.

It is an interprime number because it is at equal distance from previous prime (4022102339) and next prime (4022102341).

It can be written as a sum of positive squares in 4 ways, for example, as 208051776 + 3814050564 = 14424^2 + 61758^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4022102341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21816 + ... + 92304.

It is an arithmetic number, because the mean of its divisors is an integer number (169986635).

Almost surely, 24022102340 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 4022102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119518860).

4022102340 is an abundant number, since it is smaller than the sum of its proper divisors (8216935380).

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

4022102340 is a wasteful number, since it uses less digits than its factorization.

4022102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70821 (or 70816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022102340 is about 63420.0468306355. The cubic root of 4022102340 is about 1590.3194564004.

Adding to 4022102340 its reverse (432012204), we get a palindrome (4454114544).

It can be divided in two parts, 402210 and 2340, that added together give a triangular number (404550 = T899).

The spelling of 4022102340 in words is "four billion, twenty-two million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 70489 140978 211467 281956 352445 422934 634401 704890 845868 1057335 1268802 1409780 2114670 2537604 3172005 4229340 6344010 12688020 22345013 44690026 67035039 89380052 111725065 134070078 201105117 223450130 268140156 335175195 402210234 446900260 670350390 804420468 1005525585 1340700780 2011051170 4022102340