Search a number
-
+
224232300320 = 25571131771747
BaseRepresentation
bin1101000011010101001…
…0010101111100100000
3210102210010122002022212
43100311102111330200
512133211432102240
6251002204221252
722125454050620
oct3206522257440
9712703562285
10224232300320
1187107319086
123755ab3a828
13181b67a1812
14abd250a880
155c75a50165
hex3435495f20

224232300320 has 96 divisors (see below), whose sum is σ = 610785318528. Its totient is φ = 76199251968.

The previous prime is 224232300241. The next prime is 224232300353. The reversal of 224232300320 is 23003232422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759314 + ... + 1012433.

It is an arithmetic number, because the mean of its divisors is an integer number (6362347068).

Almost surely, 2224232300320 is an apocalyptic number.

224232300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224232300320 is an abundant number, since it is smaller than the sum of its proper divisors (386553018208).

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

224232300320 is a wasteful number, since it uses less digits than its factorization.

224232300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771882 (or 1771874 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 224232300320 its reverse (23003232422), we get a palindrome (247235532742).

The spelling of 224232300320 in words is "two hundred twenty-four billion, two hundred thirty-two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1808 2260 3164 3616 3955 4520 6328 7910 9040 12656 15820 18080 25312 31640 63280 126560 1771747 3543494 7086988 8858735 12402229 14173976 17717470 24804458 28347952 35434940 49608916 56695904 62011145 70869880 99217832 124022290 141739760 198435664 200207411 248044580 283479520 396871328 400414822 496089160 800829644 992178320 1001037055 1401451877 1601659288 1984356640 2002074110 2802903754 3203318576 4004148220 5605807508 6406637152 7007259385 8008296440 11211615016 14014518770 16016592880 22423230032 28029037540 32033185760 44846460064 56058075080 112116150160 224232300320