Search a number
-
+
302228430 = 23572949627
BaseRepresentation
bin10010000000111…
…010001111001110
3210001200210110120
4102000322033032
51104332302210
645553445410
710326620310
oct2200721716
9701623416
10302228430
11145666769
1285270866
134a7cb1ba
142c1d37b0
151b7ee270
hex1203a3ce

302228430 has 64 divisors (see below), whose sum is σ = 857571840. Its totient is φ = 66697344.

The previous prime is 302228411. The next prime is 302228449. The reversal of 302228430 is 34822203.

It is an interprime number because it is at equal distance from previous prime (302228411) and next prime (302228449).

It is a super-3 number, since 3×3022284303 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 302228430.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18724 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (13399560).

Almost surely, 2302228430 is an apocalyptic number.

302228430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

302228430 is an abundant number, since it is smaller than the sum of its proper divisors (555343410).

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

302228430 is a wasteful number, since it uses less digits than its factorization.

302228430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49673.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 302228430 is about 17384.7182893483. The cubic root of 302228430 is about 671.0864011141.

The spelling of 302228430 in words is "three hundred two million, two hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 49627 99254 148881 248135 297762 347389 496270 694778 744405 1042167 1439183 1488810 1736945 2084334 2878366 3473890 4317549 5210835 7195915 8635098 10074281 10421670 14391830 20148562 21587745 30222843 43175490 50371405 60445686 100742810 151114215 302228430