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226242940 = 2257111071373
BaseRepresentation
bin11010111110000…
…11000101111100
3120202201022222011
431133003011330
5430404233230
634241101004
75415014260
oct1537030574
9522638864
10226242940
11106787740
1263927764
1337b45181
14220940a0
1514cdee2a
hexd7c317c

226242940 has 96 divisors (see below), whose sum is σ = 598316544. Its totient is φ = 69807360.

The previous prime is 226242917. The next prime is 226242943. The reversal of 226242940 is 49242622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226242943) 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, 164094 + ... + 165466.

It is an arithmetic number, because the mean of its divisors is an integer number (6232464).

Almost surely, 2226242940 is an apocalyptic number.

226242940 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 226242940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299158272).

226242940 is an abundant number, since it is smaller than the sum of its proper divisors (372073604).

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

226242940 is a wasteful number, since it uses less digits than its factorization.

226242940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 226242940 is about 15041.3742723197. The cubic root of 226242940 is about 609.3381157250.

The spelling of 226242940 in words is "two hundred twenty-six million, two hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 535 749 770 1070 1177 1373 1498 1540 2140 2354 2746 2996 3745 4708 5492 5885 6865 7490 8239 9611 11770 13730 14980 15103 16478 19222 23540 27460 30206 32956 38444 41195 48055 60412 75515 82390 96110 105721 146911 151030 164780 192220 211442 293822 302060 422884 528605 587644 734555 1028377 1057210 1469110 1616021 2056754 2114420 2938220 3232042 4113508 5141885 6464084 8080105 10283770 11312147 16160210 20567540 22624294 32320420 45248588 56560735 113121470 226242940