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228945460224 = 2103135732809
BaseRepresentation
bin1101010100111000110…
…1100111110000000000
3210212221121021102020210
43111032031213300000
512222340014211344
6253102011434120
722353324205605
oct3251615476000
9725847242223
10228945460224
118910581a958
1238455455940
131878808c530
14b11c4626ac
155e4e6e6db9
hex354e367c00

228945460224 has 88 divisors (see below), whose sum is σ = 657163475920. Its totient is φ = 70444744704.

The previous prime is 228945460201. The next prime is 228945460229. The reversal of 228945460224 is 422064549822.

It is a super-2 number, since 2×2289454602242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228945460229) 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 7 ways as a sum of consecutive naturals, for example, 2826469 + ... + 2906340.

Almost surely, 2228945460224 is an apocalyptic number.

228945460224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228945460224 is an abundant number, since it is smaller than the sum of its proper divisors (428218015696).

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

228945460224 is a wasteful number, since it uses less digits than its factorization.

228945460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732845 (or 5732827 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 228945460224 in words is "two hundred twenty-eight billion, nine hundred forty-five million, four hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 5732809 11465618 17198427 22931236 34396854 45862472 68793708 74526517 91724944 137587416 149053034 183449888 223579551 275174832 298106068 366899776 447159102 550349664 596212136 733799552 894318204 1100699328 1192424272 1467599104 1788636408 2201398656 2384848544 2935198208 3577272816 4402797312 4769697088 5870396416 7154545632 8805594624 9539394176 14309091264 17611189248 19078788352 28618182528 38157576704 57236365056 76315153408 114472730112 228945460224