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223573240 = 235113137443
BaseRepresentation
bin11010101001101…
…11010011111000
3120120200200211101
431110313103320
5424213320430
634103541144
75353225012
oct1524672370
9516620741
10223573240
11105223980
1262a5a7b4
133741bc77
142199b1b2
1514963dca
hexd5374f8

223573240 has 128 divisors (see below), whose sum is σ = 583096320. Its totient is φ = 76377600.

The previous prime is 223573201. The next prime is 223573283. The reversal of 223573240 is 42375322.

It is a junction number, because it is equal to n+sod(n) for n = 223573199 and 223573208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504459 + ... + 504901.

It is an arithmetic number, because the mean of its divisors is an integer number (4555440).

Almost surely, 2223573240 is an apocalyptic number.

223573240 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 223573240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291548160).

223573240 is an abundant number, since it is smaller than the sum of its proper divisors (359523080).

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

223573240 is a wasteful number, since it uses less digits than its factorization.

223573240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 223573240 is about 14952.3656991126. The cubic root of 223573240 is about 606.9318662346.

The spelling of 223573240 in words is "two hundred twenty-three million, five hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 37 40 44 55 62 74 88 110 124 148 155 185 220 248 296 310 341 370 407 440 443 620 682 740 814 886 1147 1240 1364 1480 1628 1705 1772 2035 2215 2294 2728 3256 3410 3544 4070 4430 4588 4873 5735 6820 8140 8860 9176 9746 11470 12617 13640 13733 16280 16391 17720 19492 22940 24365 25234 27466 32782 38984 45880 48730 50468 54932 63085 65564 68665 81955 97460 100936 109864 126170 131128 137330 151063 163910 180301 194920 252340 274660 302126 327820 360602 504680 508121 549320 604252 655640 721204 755315 901505 1016242 1208504 1442408 1510630 1803010 2032484 2540605 3021260 3606020 4064968 5081210 5589331 6042520 7212040 10162420 11178662 20324840 22357324 27946655 44714648 55893310 111786620 223573240