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224561052331440 = 24351185061004671
BaseRepresentation
bin110011000011110010110001…
…110000010010110110110000
31002110002211022211201202111120
4303003302301300102312300
5213413202013344101230
62113333531232142240
765205000134435466
oct6303626160226660
91073084284652446
10224561052331440
1165608897823710
122122952a097980
13983c029c76ac6
143d64b54948836
151ae6535833310
hexcc3cb1c12db0

224561052331440 has 80 divisors (see below), whose sum is σ = 759424649711616. Its totient is φ = 54439042988800.

The previous prime is 224561052331439. The next prime is 224561052331471. The reversal of 224561052331440 is 44133250165422.

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

It is a super-2 number, since 2×2245610523314402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224561052331392 and 224561052331401.

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, 42530499696 + ... + 42530504975.

Almost surely, 2224561052331440 is an apocalyptic number.

224561052331440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224561052331440 is an abundant number, since it is smaller than the sum of its proper divisors (534863597380176).

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

224561052331440 is a wasteful number, since it uses less digits than its factorization.

224561052331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85061004698 (or 85061004692 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 224561052331440 in words is "two hundred twenty-four trillion, five hundred sixty-one billion, fifty-two million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 85061004671 170122009342 255183014013 340244018684 425305023355 510366028026 680488037368 850610046710 935671051381 1020732056052 1275915070065 1360976074736 1701220093420 1871342102762 2041464112104 2551830140130 2807013154143 3402440186840 3742684205524 4082928224208 4678355256905 5103660280260 5614026308286 6804880373680 7485368411048 9356710513810 10207320560520 11228052616572 14035065770715 14970736822096 18713421027620 20414641121040 22456105233144 28070131541430 37426842055240 44912210466288 56140263082860 74853684110480 112280526165720 224561052331440