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22004040513150 = 2355210931656937
BaseRepresentation
bin1010000000011001101110…
…00001001011011001111110
32212220120021102020200200000
411000030313001023121332
510341003233332410100
6114444303333215130
74430511431226453
oct500146701133176
985816242220600
1022004040513150
117013952253193
1225746447914a6
13c37c83982a97
145610035a982a
1528259793c900
hex14033704b67e

22004040513150 has 144 divisors (see below), whose sum is σ = 61363187702544. Its totient is φ = 5862372122880.

The previous prime is 22004040513139. The next prime is 22004040513223. The reversal of 22004040513150 is 5131504040022.

22004040513150 is a `hidden beast` number, since 2 + 20 + 0 + 40 + 40 + 513 + 1 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12451482 + ... + 14108418.

Almost surely, 222004040513150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22004040513150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30681593851272).

22004040513150 is an abundant number, since it is smaller than the sum of its proper divisors (39359147189394).

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

22004040513150 is a wasteful number, since it uses less digits than its factorization.

22004040513150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658057 (or 1658040 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22004040513150 its reverse (5131504040022), we get a palindrome (27135544553172).

The spelling of 22004040513150 in words is "twenty-two trillion, four billion, forty million, five hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1093 1215 1350 2025 2186 2430 3279 4050 5465 6075 6558 9837 10930 12150 16395 19674 27325 29511 32790 49185 54650 59022 81975 88533 98370 147555 163950 177066 245925 265599 295110 442665 491850 531198 737775 885330 1327995 1475550 1656937 2213325 2655990 3313874 4426650 4970811 6639975 8284685 9941622 13279950 14912433 16569370 24854055 29824866 41423425 44737299 49708110 74562165 82846850 89474598 124270275 134211897 149124330 223686495 248540550 268423794 372810825 402635691 447372990 671059485 745621650 805271382 1118432475 1342118970 1811032141 2013178455 2236864950 3355297425 3622064282 4026356910 5433096423 6710594850 9055160705 10065892275 10866192846 16299289269 18110321410 20131784550 27165482115 32598578538 45275803525 48897867807 54330964230 81496446345 90551607050 97795735614 135827410575 146693603421 162992892690 244489339035 271654821150 293387206842 407482231725 440080810263 488978678070 733468017105 814964463450 880161620526 1222446695175 1466936034210 2200404051315 2444893390350 3667340085525 4400808102630 7334680171050 11002020256575 22004040513150