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226453164540 = 223583101450223
BaseRepresentation
bin1101001011100110101…
…0010001000111111100
3210122111220120200022020
43102321222101013330
512202234002231130
6252010421120140
722234502065461
oct3227152210774
9718456520266
10226453164540
11880469a9259
1237a7a859050
131847b929a65
14ad63459668
155d559dde10
hex34b9a911fc

226453164540 has 96 divisors (see below), whose sum is σ = 648063230976. Its totient is φ = 59069126400.

The previous prime is 226453164467. The next prime is 226453164547. The reversal of 226453164540 is 45461354622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226453164492 and 226453164501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226453164547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277869 + ... + 728091.

It is an arithmetic number, because the mean of its divisors is an integer number (6750658656).

Almost surely, 2226453164540 is an apocalyptic number.

226453164540 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 226453164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324031615488).

226453164540 is an abundant number, since it is smaller than the sum of its proper divisors (421610066436).

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

226453164540 is a wasteful number, since it uses less digits than its factorization.

226453164540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450419 (or 450417 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 226453164540 in words is "two hundred twenty-six billion, four hundred fifty-three million, one hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 101 166 202 249 303 332 404 415 498 505 606 830 996 1010 1212 1245 1515 1660 2020 2490 3030 4980 6060 8383 16766 25149 33532 41915 50298 83830 100596 125745 167660 251490 450223 502980 900446 1350669 1800892 2251115 2701338 4502230 5402676 6753345 9004460 13506690 27013380 37368509 45472523 74737018 90945046 112105527 136417569 149474036 181890092 186842545 224211054 227362615 272835138 373685090 448422108 454725230 545670276 560527635 682087845 747370180 909450460 1121055270 1364175690 2242110540 2728351380 3774219409 7548438818 11322658227 15096877636 18871097045 22645316454 37742194090 45290632908 56613291135 75484388180 113226582270 226453164540