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2040022404 = 2232741474201
BaseRepresentation
bin111100110011000…
…0100010110000100
312021011122212122100
41321212010112010
513134221204104
6534232432100
7101360622120
oct17146042604
95234585570
102040022404
119575a3032
1248b248630
1326684b164
14154d16580
15be16b139
hex79984584

2040022404 has 144 divisors (see below), whose sum is σ = 6167056896. Its totient is φ = 556416000.

The previous prime is 2040022373. The next prime is 2040022427. The reversal of 2040022404 is 4042200402.

2040022404 is a `hidden beast` number, since 20 + 400 + 2 + 240 + 4 = 666.

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

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, 483504 + ... + 487704.

It is an arithmetic number, because the mean of its divisors is an integer number (42826784).

Almost surely, 22040022404 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 2040022404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083528448).

2040022404 is an abundant number, since it is smaller than the sum of its proper divisors (4127034492).

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

2040022404 is a wasteful number, since it uses less digits than its factorization.

2040022404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2040022404 is about 45166.6071783126. The cubic root of 2040022404 is about 1268.2697839051.

Adding to 2040022404 its reverse (4042200402), we get a palindrome (6082222806).

The spelling of 2040022404 in words is "two billion, forty million, twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 47 63 82 84 94 123 126 141 164 188 246 252 282 287 329 369 423 492 564 574 658 738 846 861 987 1148 1316 1476 1692 1722 1927 1974 2583 2961 3444 3854 3948 4201 5166 5781 5922 7708 8402 10332 11562 11844 12603 13489 16804 17343 23124 25206 26978 29407 34686 37809 40467 50412 53956 58814 69372 75618 80934 88221 117628 121401 151236 161868 172241 176442 197447 242802 264663 344482 352884 394894 485604 516723 529326 592341 688964 789788 1033446 1058652 1184682 1205687 1382129 1550169 1777023 2066892 2369364 2411374 2764258 3100338 3554046 3617061 4146387 4822748 5528516 6200676 7108092 7234122 8095327 8292774 10851183 12439161 14468244 16190654 16585548 21702366 24285981 24878322 32381308 43404732 48571962 49756644 56667289 72857943 97143924 113334578 145715886 170001867 226669156 291431772 340003734 510005601 680007468 1020011202 2040022404