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4224660240 = 2435231914007
BaseRepresentation
bin1111101111001111…
…0011001100010000
3101220102102222100210
43323303303030100
532123003111430
61535113044120
7206456006463
oct37363631420
911812388323
104224660240
11187878a849
1299a9b6640
13524331378
142c11152da
1519ad512b0
hexfbcf3310

4224660240 has 160 divisors (see below), whose sum is σ = 13740834816. Its totient is φ = 1071685120.

The previous prime is 4224660227. The next prime is 4224660269. The reversal of 4224660240 is 420664224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4224660198 and 4224660207.

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, 1052317 + ... + 1056323.

Almost surely, 24224660240 is an apocalyptic number.

4224660240 is a gapful number since it is divisible by the number (40) 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 4224660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870417408).

4224660240 is an abundant number, since it is smaller than the sum of its proper divisors (9516174576).

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

4224660240 is a wasteful number, since it uses less digits than its factorization.

4224660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4224660240 is about 64997.3864089934. The cubic root of 4224660240 is about 1616.5802269769.

The spelling of 4224660240 in words is "four billion, two hundred twenty-four million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 191 230 240 276 345 368 382 460 552 573 690 764 920 955 1104 1146 1380 1528 1840 1910 2292 2760 2865 3056 3820 4007 4393 4584 5520 5730 7640 8014 8786 9168 11460 12021 13179 15280 16028 17572 20035 21965 22920 24042 26358 32056 35144 40070 43930 45840 48084 52716 60105 64112 65895 70288 80140 87860 92161 96168 105432 120210 131790 160280 175720 184322 192336 210864 240420 263580 276483 320560 351440 368644 460805 480840 527160 552966 737288 765337 921610 961680 1054320 1105932 1382415 1474576 1530674 1843220 2211864 2296011 2764830 3061348 3686440 3826685 4423728 4592022 5529660 6122696 7372880 7653370 9184044 11059320 11480055 12245392 15306740 17602751 18368088 22118640 22960110 30613480 35205502 36736176 45920220 52808253 61226960 70411004 88013755 91840440 105616506 140822008 176027510 183680880 211233012 264041265 281644016 352055020 422466024 528082530 704110040 844932048 1056165060 1408220080 2112330120 4224660240