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22676061060 = 223252941105953
BaseRepresentation
bin10101000111100110…
…010011101110000100
32011112100000020220100
4111013212103232010
5332420032423220
614230042404100
71431635224122
oct250746235604
964470006810
1022676061060
119687055334
12448a200630
1321a4c2c113
141151886912
158cab72d90
hex547993b84

22676061060 has 144 divisors (see below), whose sum is σ = 72892113840. Its totient is φ = 5695979520.

The previous prime is 22676061047. The next prime is 22676061061. The reversal of 22676061060 is 6016067622.

It can be written as a sum of positive squares in 8 ways, for example, as 8466944256 + 14209116804 = 92016^2 + 119202^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22676061061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161044 + ... + 266996.

It is an arithmetic number, because the mean of its divisors is an integer number (506195235).

Almost surely, 222676061060 is an apocalyptic number.

22676061060 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 22676061060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36446056920).

22676061060 is an abundant number, since it is smaller than the sum of its proper divisors (50216052780).

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

22676061060 is a wasteful number, since it uses less digits than its factorization.

22676061060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106038 (or 106033 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22676061060 in words is "twenty-two billion, six hundred seventy-six million, sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 41 45 58 60 82 87 90 116 123 145 164 174 180 205 246 261 290 348 369 410 435 492 522 580 615 738 820 870 1044 1189 1230 1305 1476 1740 1845 2378 2460 2610 3567 3690 4756 5220 5945 7134 7380 10701 11890 14268 17835 21402 23780 35670 42804 53505 71340 105953 107010 211906 214020 317859 423812 529765 635718 953577 1059530 1271436 1589295 1907154 2119060 3072637 3178590 3814308 4344073 4767885 6145274 6357180 8688146 9217911 9535770 12290548 13032219 15363185 17376292 18435822 19071540 21720365 26064438 27653733 30726370 36871644 39096657 43440730 46089555 52128876 55307466 61452740 65161095 78193314 86881460 92179110 110614932 125978117 130322190 138268665 156386628 184358220 195483285 251956234 260644380 276537330 377934351 390966570 503912468 553074660 629890585 755868702 781933140 1133803053 1259781170 1511737404 1889671755 2267606106 2519562340 3779343510 4535212212 5669015265 7558687020 11338030530 22676061060