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22728720 = 2435783163
BaseRepresentation
bin101011010110…
…1000000010000
31120202201221110
41112231000100
521304304340
62131053320
7364122330
oct126550020
946681843
1022728720
1111914473
127741240
13492a461
1430390c0
151ede680
hex15ad010

22728720 has 160 divisors (see below), whose sum is σ = 81994752. Its totient is φ = 5101056.

The previous prime is 22728703. The next prime is 22728757. The reversal of 22728720 is 2782722.

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

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, 139359 + ... + 139521.

Almost surely, 222728720 is an apocalyptic number.

22728720 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 22728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997376).

22728720 is an abundant number, since it is smaller than the sum of its proper divisors (59266032).

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

22728720 is a wasteful number, since it uses less digits than its factorization.

22728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 22728720 is about 4767.4647350557. The cubic root of 22728720 is about 283.2641799704.

The spelling of 22728720 in words is "twenty-two million, seven hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 163 166 168 210 240 249 280 326 332 336 415 420 489 498 560 581 652 664 815 830 840 978 996 1141 1162 1245 1304 1328 1630 1660 1680 1743 1956 1992 2282 2324 2445 2490 2608 2905 3260 3320 3423 3486 3912 3984 4564 4648 4890 4980 5705 5810 6520 6640 6846 6972 7824 8715 9128 9296 9780 9960 11410 11620 13040 13529 13692 13944 17115 17430 18256 19560 19920 22820 23240 27058 27384 27888 34230 34860 39120 40587 45640 46480 54116 54768 67645 68460 69720 81174 91280 94703 108232 135290 136920 139440 162348 189406 202935 216464 270580 273840 284109 324696 378812 405870 473515 541160 568218 649392 757624 811740 947030 1082320 1136436 1420545 1515248 1623480 1894060 2272872 2841090 3246960 3788120 4545744 5682180 7576240 11364360 22728720