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20174220 = 223251123443
BaseRepresentation
bin100110011110…
…1010110001100
31101221221211100
41030331112030
520131033340
62000223100
7333322653
oct114752614
941857740
1020174220
111042a210
12690aa90
134244811
14297219a
151b87830
hex133d58c

20174220 has 144 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 4667520.

The previous prime is 20174191. The next prime is 20174237. The reversal of 20174220 is 2247102.

It is a super-3 number, since 3×201742203 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20174193 and 20174202.

It is an unprimeable number.

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, 45319 + ... + 45761.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 220174220 is an apocalyptic number.

20174220 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 20174220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056).

20174220 is an abundant number, since it is smaller than the sum of its proper divisors (49643892).

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

20174220 is a wasteful number, since it uses less digits than its factorization.

20174220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20174220 is about 4491.5721078482. The cubic root of 20174220 is about 272.2276604649.

The spelling of 20174220 in words is "twenty million, one hundred seventy-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 443 460 495 506 660 690 759 828 886 990 1012 1035 1265 1329 1380 1518 1772 1980 2070 2215 2277 2530 2658 3036 3795 3987 4140 4430 4554 4873 5060 5316 6645 7590 7974 8860 9108 9746 10189 11385 13290 14619 15180 15948 19492 19935 20378 22770 24365 26580 29238 30567 39870 40756 43857 45540 48730 50945 58476 61134 73095 79740 87714 91701 97460 101890 112079 122268 146190 152835 175428 183402 203780 219285 224158 292380 305670 336237 366804 438570 448316 458505 560395 611340 672474 877140 917010 1008711 1120790 1344948 1681185 1834020 2017422 2241580 3362370 4034844 5043555 6724740 10087110 20174220