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270322220 = 225722367179
BaseRepresentation
bin10000000111001…
…100101000101100
3200211122210101002
4100013030220230
51023200302340
642453535432
76461462300
oct2007145054
9624583332
10270322220
111296540a3
1276644578
134400969c
1427c89d00
1518aea715
hex101cca2c

270322220 has 144 divisors (see below), whose sum is σ = 703261440. Its totient is φ = 86841216.

The previous prime is 270322189. The next prime is 270322223. The reversal of 270322220 is 22223072.

270322220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 270322192 and 270322201.

It is not an unprimeable number, because it can be changed into a prime (270322223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510091 + ... + 1510269.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2270322220 is an apocalyptic number.

270322220 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 270322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

270322220 is an abundant number, since it is smaller than the sum of its proper divisors (432939220).

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

270322220 is a wasteful number, since it uses less digits than its factorization.

270322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 270322220 is about 16441.4786439663. The cubic root of 270322220 is about 646.5874166294.

Adding to 270322220 its reverse (22223072), we get a palindrome (292545292).

The spelling of 270322220 in words is "two hundred seventy million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 67 70 92 98 115 134 140 161 179 196 230 245 268 322 335 358 460 469 490 644 670 716 805 895 938 980 1127 1253 1340 1541 1610 1790 1876 2254 2345 2506 3082 3220 3283 3580 4117 4508 4690 5012 5635 6164 6265 6566 7705 8234 8771 9380 10787 11270 11993 12530 13132 15410 16415 16468 17542 20585 21574 22540 23986 25060 28819 30820 32830 35084 41170 43148 43855 47972 53935 57638 59965 65660 75509 82340 83951 87710 107870 115276 119930 144095 151018 167902 175420 201733 215740 239860 275839 288190 302036 335804 377545 403466 419755 551678 576380 587657 755090 806932 839510 1008665 1103356 1175314 1379195 1510180 1679020 1930873 2017330 2350628 2758390 2938285 3861746 4034660 5516780 5876570 7723492 9654365 11753140 13516111 19308730 27032222 38617460 54064444 67580555 135161110 270322220