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2224424024240 = 2451110126779349
BaseRepresentation
bin100000010111101010000…
…000001111100010110000
321212122121221020112001212
4200113222000033202300
5242421110022233430
64421515234415252
7316465205143565
oct40275200174260
97778557215055
102224424024240
11788411409990
122bb137131528
131319ba9831a2
147993c62686c
153cce079eb95
hex205ea00f8b0

2224424024240 has 160 divisors (see below), whose sum is σ = 5700547195200. Its totient is φ = 800487936000.

The previous prime is 2224424024209. The next prime is 2224424024261. The reversal of 2224424024240 is 424204244222.

It is a super-2 number, since 2×22244240242402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2224424024197 and 2224424024206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237927086 + ... + 237936434.

It is an arithmetic number, because the mean of its divisors is an integer number (35628419970).

Almost surely, 22224424024240 is an apocalyptic number.

2224424024240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224424024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850273597600).

2224424024240 is an abundant number, since it is smaller than the sum of its proper divisors (3476123170960).

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

2224424024240 is a wasteful number, since it uses less digits than its factorization.

2224424024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2224424024240 its reverse (424204244222), we get a palindrome (2648628268462).

The spelling of 2224424024240 in words is "two trillion, two hundred twenty-four billion, four hundred twenty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 2677 4040 4444 5354 5555 8080 8888 9349 10708 11110 13385 17776 18698 21416 22220 26770 29447 37396 42832 44440 46745 53540 58894 74792 88880 93490 102839 107080 117788 147235 149584 186980 205678 214160 235576 270377 294470 373960 411356 471152 514195 540754 588940 747920 822712 944249 1028390 1081508 1177880 1351885 1645424 1888498 2056780 2163016 2355760 2703770 2974147 3776996 4113560 4326032 4721245 5407540 5948294 7553992 8227120 9442490 10386739 10815080 11896588 14870735 15107984 18884980 20773478 21630160 23793176 25027273 29741470 37769960 41546956 47586352 50054546 51933695 59482940 75539920 83093912 100109092 103867390 118965880 125136365 166187824 200218184 207734780 237931760 250272730 275300003 400436368 415469560 500545460 550600006 830939120 1001090920 1101200012 1376500015 2002181840 2202400024 2527754573 2753000030 4404800048 5055509146 5506000060 10111018292 11012000120 12638772865 20222036584 22024000240 25277545730 27805300303 40444073168 50555091460 55610600606 101110182920 111221201212 139026501515 202220365840 222442402424 278053003030 444884804848 556106006060 1112212012120 2224424024240