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226747461248 = 2771141954907
BaseRepresentation
bin1101001100101100110…
…0111010111010000000
3210200021102100111111022
43103023030322322000
512203334322224443
6252055533005012
722245004422410
oct3231314727200
9720242314438
10226747461248
1188188037780
1237b41323768
13184c78ab919
14ad90586640
155d71772e68
hex34cb33ae80

226747461248 has 128 divisors (see below), whose sum is σ = 564542092800. Its totient is φ = 88130718720.

The previous prime is 226747461247. The next prime is 226747461263. The reversal of 226747461248 is 842164747622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2267474612482 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226747461248.

It is not an unprimeable number, because it can be changed into a prime (226747461247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4102211 + ... + 4157117.

It is an arithmetic number, because the mean of its divisors is an integer number (4410485100).

Almost surely, 2226747461248 is an apocalyptic number.

226747461248 is a gapful number since it is divisible by the number (28) 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 226747461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282271046400).

226747461248 is an abundant number, since it is smaller than the sum of its proper divisors (337794631552).

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

226747461248 is a wasteful number, since it uses less digits than its factorization.

226747461248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55358 (or 55346 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 53.

The spelling of 226747461248 in words is "two hundred twenty-six billion, seven hundred forty-seven million, four hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 419 448 616 704 838 896 1232 1408 1676 2464 2933 3352 4609 4928 5866 6704 9218 9856 11732 13408 18436 23464 26816 32263 36872 46928 53632 54907 64526 73744 93856 109814 129052 147488 187712 219628 258104 294976 375424 384349 439256 516208 589952 603977 768698 878512 1032416 1207954 1537396 1757024 2064832 2415908 3074792 3514048 4129664 4227839 4831816 6149584 7028096 8455678 9663632 12299168 16911356 19327264 23006033 24598336 33822712 38654528 46012066 49196672 67645424 77309056 92024132 135290848 161042231 184048264 253066363 270581696 322084462 368096528 506132726 541163392 644168924 736193056 1012265452 1288337848 1472386112 1771464541 2024530904 2576675696 2944772224 3542929082 4049061808 5153351392 7085858164 8098123616 10306702784 14171716328 16196247232 20613405568 28343432656 32392494464 56686865312 113373730624 226747461248