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6229137840 = 2435192359393
BaseRepresentation
bin1011100110100100…
…10001100110110000
3121002010012222200220
411303102101212300
5100224124402330
62510040013040
7310235540502
oct56322214660
917063188626
106229137840
112707205502
12125a161180
137836b57a3
14431417d72
15266cea710
hex1734919b0

6229137840 has 160 divisors (see below), whose sum is σ = 21210785280. Its totient is φ = 1505230848.

The previous prime is 6229137839. The next prime is 6229137851. The reversal of 6229137840 is 487319226.

It is a junction number, because it is equal to n+sod(n) for n = 6229137792 and 6229137801.

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, 75184 + ... + 134576.

It is an arithmetic number, because the mean of its divisors is an integer number (132567408).

Almost surely, 26229137840 is an apocalyptic number.

6229137840 is a gapful number since it is divisible by the number (60) 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 6229137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605392640).

6229137840 is an abundant number, since it is smaller than the sum of its proper divisors (14981647440).

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

6229137840 is a wasteful number, since it uses less digits than its factorization.

6229137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59451 (or 59445 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6229137840 is about 78924.8873296630. The cubic root of 6229137840 is about 1839.9639485690.

The spelling of 6229137840 in words is "six billion, two hundred twenty-nine million, one hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 10488 13110 17480 20976 26220 34960 52440 59393 104880 118786 178179 237572 296965 356358 475144 593930 712716 890895 950288 1128467 1187860 1366039 1425432 1781790 2256934 2375720 2732078 2850864 3385401 3563580 4098117 4513868 4751440 5464156 5642335 6770802 6830195 7127160 8196234 9027736 10928312 11284670 13541604 13660390 14254320 16392468 16927005 18055472 20490585 21856624 22569340 25954741 27083208 27320780 32784936 33854010 40981170 45138680 51909482 54166416 54641560 65569872 67708020 77864223 81962340 90277360 103818964 109283120 129773705 135416040 155728446 163924680 207637928 259547410 270832080 311456892 327849360 389321115 415275856 519094820 622913784 778642230 1038189640 1245827568 1557284460 2076379280 3114568920 6229137840