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222685680 = 24357831597
BaseRepresentation
bin11010100010111…
…10100111110000
3120112000121022210
431101132213300
5424001420210
634032532120
75342540250
oct1521364760
9515017283
10222685680
11104778058
12626b1040
133719ac99
1421809960
151483ae20
hexd45e9f0

222685680 has 160 divisors (see below), whose sum is σ = 798948864. Its totient is φ = 50254848.

The previous prime is 222685657. The next prime is 222685717. The reversal of 222685680 is 86586222.

222685680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 138642 + ... + 140238.

Almost surely, 2222685680 is an apocalyptic number.

222685680 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 222685680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399474432).

222685680 is an abundant number, since it is smaller than the sum of its proper divisors (576263184).

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

222685680 is a wasteful number, since it uses less digits than its factorization.

222685680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 222685680 is about 14922.6565999490. The cubic root of 222685680 is about 606.1276512233.

The spelling of 222685680 in words is "two hundred twenty-two million, six hundred eighty-five thousand, six hundred eighty".

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 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 560 581 664 830 840 996 1162 1245 1328 1597 1660 1680 1743 1992 2324 2490 2905 3194 3320 3486 3984 4648 4791 4980 5810 6388 6640 6972 7985 8715 9296 9582 9960 11179 11620 12776 13944 15970 17430 19164 19920 22358 23240 23955 25552 27888 31940 33537 34860 38328 44716 46480 47910 55895 63880 67074 69720 76656 89432 95820 111790 127760 132551 134148 139440 167685 178864 191640 223580 265102 268296 335370 383280 397653 447160 530204 536592 662755 670740 795306 894320 927857 1060408 1325510 1341480 1590612 1855714 1988265 2120816 2651020 2682960 2783571 3181224 3711428 3976530 4639285 5302040 5567142 6362448 7422856 7953060 9278570 10604080 11134284 13917855 14845712 15906120 18557140 22268568 27835710 31812240 37114280 44537136 55671420 74228560 111342840 222685680