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226915584420 = 223571091495211
BaseRepresentation
bin1101001101010100111…
…0010000100110100100
3210200201010201001010110
43103111032100212210
512204210342200140
6252124340253020
722252115433420
oct3232516204644
9720633631113
10226915584420
1188263a28148
1237b896a1170
13185236848a5
14ada8a2bb80
155d813d2380
hex34d53909a4

226915584420 has 96 divisors (see below), whose sum is σ = 726796901376. Its totient is φ = 51818774400.

The previous prime is 226915584397. The next prime is 226915584457. The reversal of 226915584420 is 24485519622.

It is a self number, because there is not a number n which added to its sum of digits gives 226915584420.

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 31 ways as a sum of consecutive naturals, for example, 210615 + ... + 705825.

It is an arithmetic number, because the mean of its divisors is an integer number (7570801056).

Almost surely, 2226915584420 is an apocalyptic number.

226915584420 is a gapful number since it is divisible by the number (20) 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 226915584420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363398450688).

226915584420 is an abundant number, since it is smaller than the sum of its proper divisors (499881316956).

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

226915584420 is a wasteful number, since it uses less digits than its factorization.

226915584420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496321 (or 496319 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 226915584420 in words is "two hundred twenty-six billion, nine hundred fifteen million, five hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1091 2182 3273 4364 5455 6546 7637 10910 13092 15274 16365 21820 22911 30548 32730 38185 45822 65460 76370 91644 114555 152740 229110 458220 495211 990422 1485633 1980844 2476055 2971266 3466477 4952110 5942532 6932954 7428165 9904220 10399431 13865908 14856330 17332385 20798862 29712660 34664770 41597724 51997155 69329540 103994310 207988620 540275201 1080550402 1620825603 2161100804 2701376005 3241651206 3781926407 5402752010 6483302412 7563852814 8104128015 10805504020 11345779221 15127705628 16208256030 18909632035 22691558442 32416512060 37819264070 45383116884 56728896105 75638528140 113457792210 226915584420