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66220770 = 235711109263
BaseRepresentation
bin1111110010011…
…1001011100010
311121121100211010
43330213023202
5113423031040
610323201350
71432603320
oct374471342
9147540733
1066220770
113441a710
121a216256
13109475b5
148b1ad10
155c30e80
hex3f272e2

66220770 has 128 divisors (see below), whose sum is σ = 200724480. Its totient is φ = 13582080.

The previous prime is 66220769. The next prime is 66220771. The reversal of 66220770 is 7702266.

It is an interprime number because it is at equal distance from previous prime (66220769) and next prime (66220771).

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

It is not an unprimeable number, because it can be changed into a prime (66220771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251659 + ... + 251921.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 266220770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66220770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100362240).

66220770 is an abundant number, since it is smaller than the sum of its proper divisors (134503710).

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

66220770 is a wasteful number, since it uses less digits than its factorization.

66220770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 66220770 is about 8137.6145153233. The cubic root of 66220770 is about 404.5740988390.

The spelling of 66220770 in words is "sixty-six million, two hundred twenty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 109 110 154 165 210 218 231 263 327 330 385 462 526 545 654 763 770 789 1090 1155 1199 1315 1526 1578 1635 1841 2289 2310 2398 2630 2893 3270 3597 3682 3815 3945 4578 5523 5786 5995 7194 7630 7890 8393 8679 9205 11046 11445 11990 14465 16786 17358 17985 18410 20251 22890 25179 27615 28667 28930 35970 40502 41965 43395 50358 55230 57334 60753 83930 86001 86790 101255 121506 125895 143335 172002 200669 202510 251790 286670 303765 315337 401338 430005 602007 607530 630674 860010 946011 1003345 1204014 1576685 1892022 2006690 2207359 3010035 3153370 4414718 4730055 6020070 6622077 9460110 11036795 13244154 22073590 33110385 66220770