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302144220 = 223257376481
BaseRepresentation
bin10010000000100…
…101101011011100
3210001112111221200
4102000211223130
51104322103340
645551555500
710326116640
oct2200455334
9701474850
10302144220
11145609474
128522bb90
134a79ba81
142c1b0c20
151b7d4330
hex12025adc

302144220 has 144 divisors (see below), whose sum is σ = 1075908288. Its totient is φ = 67184640.

The previous prime is 302144207. The next prime is 302144267. The reversal of 302144220 is 22441203.

302144220 is a `hidden beast` number, since 30 + 214 + 422 + 0 = 666.

It is a super-2 number, since 2×3021442202 = 182582259358816800, which contains 22 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 = 302144193 and 302144202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43380 + ... + 49860.

Almost surely, 2302144220 is an apocalyptic number.

302144220 is a gapful number since it is divisible by the number (30) 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 302144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537954144).

302144220 is an abundant number, since it is smaller than the sum of its proper divisors (773764068).

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

302144220 is a wasteful number, since it uses less digits than its factorization.

302144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 302144220 is about 17382.2961659270. The cubic root of 302144220 is about 671.0240669878.

Adding to 302144220 its reverse (22441203), we get a palindrome (324585423).

The spelling of 302144220 in words is "three hundred two million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6481 6660 7770 9324 11655 12962 15540 19443 23310 25924 32405 38886 45367 46620 58329 64810 77772 90734 97215 116658 129620 136101 181468 194430 226835 233316 239797 272202 291645 388860 408303 453670 479594 544404 583290 680505 719391 816606 907340 959188 1166580 1198985 1361010 1438782 1633212 1678579 2041515 2158173 2397970 2722020 2877564 3357158 3596955 4083030 4316346 4795940 5035737 6714316 7193910 8166060 8392895 8632692 10071474 10790865 14387820 15107211 16785790 20142948 21581730 25178685 30214422 33571580 43163460 50357370 60428844 75536055 100714740 151072110 302144220