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223320440 = 2357341397
BaseRepresentation
bin11010100111110…
…01100101111000
3120120012212001102
431103321211320
5424132223230
634054310532
75351123000
oct1523714570
9516185042
10223320440
11105070a52
1262958448
1337360b95
1421933000
1514914045
hexd4f9978

223320440 has 128 divisors (see below), whose sum is σ = 601776000. Its totient is φ = 74511360.

The previous prime is 223320437. The next prime is 223320443. The reversal of 223320440 is 44023322.

223320440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223320437) and next prime (223320443).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223320443) 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, 562322 + ... + 562718.

It is an arithmetic number, because the mean of its divisors is an integer number (4701375).

Almost surely, 2223320440 is an apocalyptic number.

223320440 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 223320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300888000).

223320440 is an abundant number, since it is smaller than the sum of its proper divisors (378455560).

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

223320440 is a wasteful number, since it uses less digits than its factorization.

223320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 223320440 is about 14943.9097963016. The cubic root of 223320440 is about 606.7030221474.

Adding to 223320440 its reverse (44023322), we get a palindrome (267343762).

The spelling of 223320440 in words is "two hundred twenty-three million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 343 392 397 410 490 574 686 794 820 980 1148 1372 1435 1588 1640 1715 1960 1985 2009 2296 2744 2779 2870 3176 3430 3970 4018 5558 5740 6860 7940 8036 10045 11116 11480 13720 13895 14063 15880 16072 16277 19453 20090 22232 27790 28126 32554 38906 40180 55580 56252 65108 70315 77812 80360 81385 97265 111160 112504 113939 130216 136171 140630 155624 162770 194530 227878 272342 281260 325540 389060 455756 544684 562520 569695 651080 680855 778120 797573 911512 1089368 1139390 1361710 1595146 2278780 2723420 3190292 3987865 4557560 5446840 5583011 6380584 7975730 11166022 15951460 22332044 27915055 31902920 44664088 55830110 111660220 223320440