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2330223243440 = 24561647738029
BaseRepresentation
bin100001111010001100001…
…000001111000010110000
322020202201021010201111212
4201322030020033002300
5301134244122242230
64542253443055252
7330232050521651
oct41721410170260
98222637121455
102330223243440
118192732aa224
12317743071528
1313b97ba8cb81
1480ad794d528
1540933bb1895
hex21e8c20f0b0

2330223243440 has 80 divisors (see below), whose sum is σ = 5515103350080. Its totient is φ = 915390888960.

The previous prime is 2330223243437. The next prime is 2330223243443. The reversal of 2330223243440 is 443423220332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2330223243437) and next prime (2330223243443).

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 = 2330223243397 and 2330223243406.

It is not an unprimeable number, because it can be changed into a prime (2330223243443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2788346 + ... + 3526374.

It is an arithmetic number, because the mean of its divisors is an integer number (68938791876).

Almost surely, 22330223243440 is an apocalyptic number.

2330223243440 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 2330223243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757551675040).

2330223243440 is an abundant number, since it is smaller than the sum of its proper divisors (3184880106640).

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

2330223243440 is a wasteful number, since it uses less digits than its factorization.

2330223243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738750 (or 738744 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 2330223243440 its reverse (443423220332), we get a palindrome (2773646463772).

The spelling of 2330223243440 in words is "two trillion, three hundred thirty billion, two hundred twenty-three million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 647 976 1220 1294 2440 2588 3235 4880 5176 6470 10352 12940 25880 39467 51760 78934 157868 197335 315736 394670 631472 738029 789340 1476058 1578680 2952116 3157360 3690145 5904232 7380290 11808464 14760580 29521160 45019769 59042320 90039538 180079076 225098845 360158152 450197690 477504763 720316304 900395380 955009526 1800790760 1910019052 2387523815 3601581520 3820038104 4775047630 7640076208 9550095260 19100190520 29127790543 38200381040 58255581086 116511162172 145638952715 233022324344 291277905430 466044648688 582555810860 1165111621720 2330223243440