Search a number
-
+
22400002001010 = 23517312635387167
BaseRepresentation
bin1010001011111011010000…
…01010011000100001110010
32221022102022122122101111010
411011331220022120201302
510414000201003013020
6115350230250131350
74501226634313554
oct505755012304162
987272278571433
1022400002001010
117156873187647
12261932b420b56
13c6640770716a
145762472714d4
1528ca1ea04de0
hex145f68298872

22400002001010 has 128 divisors (see below), whose sum is σ = 58981990662144. Its totient is φ = 5419919969280.

The previous prime is 22400002000969. The next prime is 22400002001059. The reversal of 22400002001010 is 1010020000422.

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, 1464447 + ... + 6851613.

It is an arithmetic number, because the mean of its divisors is an integer number (460796802048).

Almost surely, 222400002001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400002001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29490995331072).

22400002001010 is an abundant number, since it is smaller than the sum of its proper divisors (36581988661134).

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

22400002001010 is a wasteful number, since it uses less digits than its factorization.

22400002001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387488.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22400002001010 its reverse (1010020000422), we get a palindrome (23410022001432).

The spelling of 22400002001010 in words is "twenty-two trillion, four hundred billion, two million, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 263 310 465 510 526 527 789 930 1054 1315 1578 1581 2630 2635 3162 3945 4471 5270 7890 7905 8153 8942 13413 15810 16306 22355 24459 26826 40765 44710 48918 67065 81530 122295 134130 138601 244590 277202 415803 693005 831606 1386010 2079015 4158030 5387167 10774334 16161501 26935835 32323002 53871670 80807505 91581839 161615010 167002177 183163678 274745517 334004354 457909195 501006531 549491034 835010885 915818390 1002013062 1373727585 1416824921 1670021770 2505032655 2747455170 2833649842 2839037009 4250474763 5010065310 5678074018 7084124605 8500949526 8517111027 14168249210 14195185045 17034222054 21252373815 24086023657 28390370090 42504747630 42585555135 43921572551 48172047314 72258070971 85171110270 87843145102 120430118285 131764717653 144516141942 219607862755 240860236570 263529435306 361290354855 439215725510 658823588265 722580709710 746666733367 1317647176530 1493333466734 2240000200101 3733333666835 4480000400202 7466667333670 11200001000505 22400002001010