Search a number
-
+
300220303152 = 243711727111731
BaseRepresentation
bin1000101111001101000…
…01100100011100110000
31001200220212110120212010
410113212201210130300
514404322344200102
6345530323002520
730455511320520
oct4274641443460
91050825416763
10300220303152
11106360597320
124a227209440
13224066742c3
14107604cb680
157c21bc8d6c
hex45e6864730

300220303152 has 160 divisors (see below), whose sum is σ = 968282025984. Its totient is φ = 77871340800.

The previous prime is 300220303151. The next prime is 300220303171. The reversal of 300220303152 is 251303022003.

It is a super-2 number, since 2×3002203031522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (300220303151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2631127 + ... + 2742857.

Almost surely, 2300220303152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300220303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484141012992).

300220303152 is an abundant number, since it is smaller than the sum of its proper divisors (668061722832).

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

300220303152 is a wasteful number, since it uses less digits than its factorization.

300220303152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112487 (or 112481 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 300220303152 its reverse (251303022003), we get a palindrome (551523325155).

The spelling of 300220303152 in words is "three hundred billion, two hundred twenty million, three hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 727 924 1232 1454 1848 2181 2908 3696 4362 5089 5816 7997 8724 10178 11632 15267 15994 17448 20356 23991 30534 31988 34896 40712 47982 55979 61068 63976 81424 95964 111731 111958 122136 127952 167937 191928 223462 223916 244272 335193 335874 383856 446924 447832 670386 671748 782117 893848 895664 1229041 1340772 1343496 1564234 1787696 2346351 2458082 2681544 2686992 3128468 3687123 4692702 4916164 5363088 6256936 7374246 8603287 9385404 9832328 12513872 14748492 17206574 18770808 19664656 25809861 29496984 34413148 37541616 51619722 58993968 68826296 81228437 103239444 137652592 162456874 206478888 243685311 324913748 412957776 487370622 568599059 649827496 893512807 974741244 1137198118 1299654992 1705797177 1787025614 1949482488 2274396236 2680538421 3411594354 3574051228 3898964976 4548792472 5361076842 6254589649 6823188708 7148102456 9097584944 10722153684 12509179298 13646377416 14296204912 18763768947 21444307368 25018358596 27292754832 37527537894 42888614736 50036717192 75055075788 100073434384 150110151576 300220303152