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220169740 = 225722961127
BaseRepresentation
bin11010001111110…
…00011000001100
3120100021210002211
431013320120030
5422330412430
633503000204
75312261200
oct1507703014
9510253084
10220169740
1110330986a
1261899064
13367c9a6b
1421352b00
15144e072a
hexd1f860c

220169740 has 144 divisors (see below), whose sum is σ = 569963520. Its totient is φ = 71124480.

The previous prime is 220169717. The next prime is 220169743. The reversal of 220169740 is 47961022.

It is not an unprimeable number, because it can be changed into a prime (220169743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733557 + ... + 1733683.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2220169740 is an apocalyptic number.

220169740 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 220169740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

220169740 is an abundant number, since it is smaller than the sum of its proper divisors (349793780).

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

220169740 is a wasteful number, since it uses less digits than its factorization.

220169740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 220169740 is about 14838.1178051665. The cubic root of 220169740 is about 603.8362895640.

The spelling of 220169740 in words is "two hundred twenty million, one hundred sixty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 61 70 98 116 122 127 140 145 196 203 244 245 254 290 305 406 427 490 508 580 610 635 812 854 889 980 1015 1220 1270 1421 1708 1769 1778 2030 2135 2540 2842 2989 3538 3556 3683 4060 4270 4445 5684 5978 6223 7076 7105 7366 7747 8540 8845 8890 11956 12383 12446 14210 14732 14945 15494 17690 17780 18415 24766 24892 25781 28420 29890 30988 31115 35380 36830 38735 49532 51562 54229 59780 61915 62230 73660 77470 86681 103124 108458 123830 124460 128905 154940 173362 180467 216916 224663 247660 257810 271145 346724 360934 379603 433405 449326 515620 542290 721868 759206 866810 898652 902335 1084580 1123315 1518412 1572641 1733620 1804670 1898015 2246630 3145282 3609340 3796030 4493260 6290564 7592060 7863205 11008487 15726410 22016974 31452820 44033948 55042435 110084870 220169740