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2224424044240 = 245236131972147
BaseRepresentation
bin100000010111101010000…
…000010100011011010000
321212122121221021112111121
4200113222000110123100
5242421110023403430
64421515235052024
7316465205256106
oct40275200243320
97778557245447
102224424044240
11788411422a12
122bb137141014
131319ba98c318
147993c62dc76
153cce07a5a7a
hex205ea0146d0

2224424044240 has 80 divisors (see below), whose sum is σ = 5405452564608. Its totient is φ = 849695159808.

The previous prime is 2224424044207. The next prime is 2224424044259. The reversal of 2224424044240 is 424404244222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2224424044196 and 2224424044205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141847 + ... + 2113993.

Almost surely, 22224424044240 is an apocalyptic number.

2224424044240 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 2224424044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702726282304).

2224424044240 is an abundant number, since it is smaller than the sum of its proper divisors (3181028520368).

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

2224424044240 is a wasteful number, since it uses less digits than its factorization.

2224424044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972796 (or 1972790 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 2224424044240 its reverse (424404244222), we get a palindrome (2648828288462).

The spelling of 2224424044240 in words is "two trillion, two hundred twenty-four billion, four hundred twenty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 613 920 1226 1840 2452 3065 4904 6130 9808 12260 14099 24520 28198 49040 56396 70495 112792 140990 225584 281980 563960 1127920 1972147 3944294 7888588 9860735 15777176 19721470 31554352 39442940 45359381 78885880 90718762 157771760 181437524 226796905 362875048 453593810 725750096 907187620 1208926111 1814375240 2417852222 3628750480 4835704444 6044630555 9671408888 12089261110 19342817776 24178522220 27805300553 48357044440 55610601106 96714088880 111221202212 139026502765 222442404424 278053005530 444884808848 556106011060 1112212022120 2224424044240