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220020680 = 235112943401
BaseRepresentation
bin11010001110100…
…11111111001000
3120100000012122002
431013103333020
5422311130210
633455450132
75311100465
oct1507237710
9510005562
10220020680
11103217880
1261826948
1336776c69
142131466c
15144b14a5
hexd1d3fc8

220020680 has 128 divisors (see below), whose sum is σ = 573091200. Its totient is φ = 75264000.

The previous prime is 220020673. The next prime is 220020683. The reversal of 220020680 is 86020022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (220020683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548480 + ... + 548880.

It is an arithmetic number, because the mean of its divisors is an integer number (4477275).

Almost surely, 2220020680 is an apocalyptic number.

220020680 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 220020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286545600).

220020680 is an abundant number, since it is smaller than the sum of its proper divisors (353070520).

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

220020680 is a wasteful number, since it uses less digits than its factorization.

220020680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 220020680 is about 14833.0940804675. The cubic root of 220020680 is about 603.6999884274.

The spelling of 220020680 in words is "two hundred twenty million, twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 43 44 55 58 86 88 110 116 145 172 215 220 232 290 319 344 401 430 440 473 580 638 802 860 946 1160 1247 1276 1595 1604 1720 1892 2005 2365 2494 2552 3190 3208 3784 4010 4411 4730 4988 6235 6380 8020 8822 9460 9976 11629 12470 12760 13717 16040 17243 17644 18920 22055 23258 24940 27434 34486 35288 44110 46516 49880 54868 58145 68585 68972 86215 88220 93032 109736 116290 127919 137170 137944 172430 176440 189673 232580 255838 274340 344860 379346 465160 500047 511676 548680 639595 689720 758692 948365 1000094 1023352 1279190 1517384 1896730 2000188 2500235 2558380 3793460 4000376 5000470 5116760 5500517 7586920 10000940 11001034 20001880 22002068 27502585 44004136 55005170 110010340 220020680