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22231152444440 = 2356116783965027
BaseRepresentation
bin1010000111000000101111…
…11100011100010000011000
32220201021111020102012001202
411003200113330130100120
510403213400011210230
6115140503410133332
74453101452624102
oct503402774342030
986637436365052
1022231152444440
1170a11a6a98675
1225b0667b81248
13c53508c12c44
1456bdca308572
1528843b1a6a45
hex143817f1c418

22231152444440 has 128 divisors (see below), whose sum is σ = 51206272588800. Its totient is φ = 8683811335680.

The previous prime is 22231152444383. The next prime is 22231152444443. The reversal of 22231152444440 is 4444425113222.

It is a junction number, because it is equal to n+sod(n) for n = 22231152444394 and 22231152444403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231152444443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341843207 + ... + 341908233.

It is an arithmetic number, because the mean of its divisors is an integer number (400049004600).

Almost surely, 222231152444440 is an apocalyptic number.

22231152444440 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 22231152444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603136294400).

22231152444440 is an abundant number, since it is smaller than the sum of its proper divisors (28975120144360).

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

22231152444440 is a wasteful number, since it uses less digits than its factorization.

22231152444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66105 (or 66101 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 22231152444440 its reverse (4444425113222), we get a palindrome (26675577557662).

The spelling of 22231152444440 in words is "twenty-two trillion, two hundred thirty-one billion, one hundred fifty-two million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 167 244 305 334 488 610 668 835 839 1220 1336 1670 1678 2440 3340 3356 4195 6680 6712 8390 10187 16780 20374 33560 40748 50935 51179 65027 81496 101870 102358 130054 140113 203740 204716 255895 260108 280226 325135 407480 409432 511790 520216 560452 650270 700565 1023580 1120904 1300540 1401130 2047160 2601080 2802260 3966647 5604520 7933294 8546893 10859509 15866588 17093786 19833235 21719018 31733176 34187572 39666470 42734465 43438036 54297545 54557653 68375144 79332940 85468930 86876072 108595090 109115306 158665880 170937860 217190180 218230612 272788265 341875720 434380360 436461224 545576530 662430049 1091153060 1324860098 2182306120 2649720196 3312150245 3328016833 5299440392 6624300490 6656033666 9111128051 13248600980 13312067332 16640084165 18222256102 26497201960 26624134664 33280168330 36444512204 45555640255 66560336660 72889024408 91111280510 133120673320 182222561020 364445122040 555778811111 1111557622222 2223115244444 2778894055555 4446230488888 5557788111110 11115576222220 22231152444440