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29228080 = 2457194167
BaseRepresentation
bin110111101111…
…1110000110000
32000222221101111
41233133300300
524440244310
62522243104
7503302030
oct157376060
960887344
1029228080
1115553542
129956494
13609482b
143c4b8c0
15287528a
hex1bdfc30

29228080 has 160 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 9123840.

The previous prime is 29228077. The next prime is 29228093. The reversal of 29228080 is 8082292.

It is a congruent number.

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, 436207 + ... + 436273.

It is an arithmetic number, because the mean of its divisors is an integer number (531216).

Almost surely, 229228080 is an apocalyptic number.

29228080 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 29228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

29228080 is an abundant number, since it is smaller than the sum of its proper divisors (55766480).

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

29228080 is a wasteful number, since it uses less digits than its factorization.

29228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 29228080 is about 5406.3000286703. The cubic root of 29228080 is about 308.0350215981.

The spelling of 29228080 in words is "twenty-nine million, two hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 41 56 67 70 76 80 82 95 112 133 134 140 152 164 190 205 266 268 280 287 304 328 335 380 410 469 532 536 560 574 656 665 670 760 779 820 938 1064 1072 1148 1273 1330 1340 1435 1520 1558 1640 1876 2128 2296 2345 2546 2660 2680 2747 2870 3116 3280 3752 3895 4592 4690 5092 5320 5360 5453 5494 5740 6232 6365 7504 7790 8911 9380 10184 10640 10906 10988 11480 12464 12730 13735 15580 17822 18760 19229 20368 21812 21976 22960 25460 27265 27470 31160 35644 37520 38458 43624 43952 44555 50920 52193 54530 54940 62320 71288 76916 87248 89110 96145 101840 104386 109060 109880 142576 153832 178220 192290 208772 218120 219760 260965 307664 356440 365351 384580 417544 436240 521930 712880 730702 769160 835088 1043860 1461404 1538320 1826755 2087720 2922808 3653510 4175440 5845616 7307020 14614040 29228080