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223420140 = 22335478803
BaseRepresentation
bin11010101000100…
…01111011101100
3120120101220211000
431110101323230
5424143421030
634100400300
75352016446
oct1524217354
9516356730
10223420140
11105129949
12629a6090
1337397388
142195b496
1514933860
hexd511eec

223420140 has 96 divisors (see below), whose sum is σ = 709954560. Its totient is φ = 58304448.

The previous prime is 223420139. The next prime is 223420151. The reversal of 223420140 is 41024322.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20979 + ... + 29781.

It is an arithmetic number, because the mean of its divisors is an integer number (7395360).

Almost surely, 2223420140 is an apocalyptic number.

223420140 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 223420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354977280).

223420140 is an abundant number, since it is smaller than the sum of its proper divisors (486534420).

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

223420140 is a wasteful number, since it uses less digits than its factorization.

223420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223420140 is about 14947.2452311454. The cubic root of 223420140 is about 606.7932949590.

Adding to 223420140 its reverse (41024322), we get a palindrome (264444462).

The spelling of 223420140 in words is "two hundred twenty-three million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 8803 12690 17606 25380 26409 35212 44015 52818 79227 88030 105636 132045 158454 176060 237681 264090 316908 396135 413741 475362 528180 792270 827482 950724 1188405 1241223 1584540 1654964 2068705 2376810 2482446 3723669 4137410 4753620 4964892 6206115 7447338 8274820 11171007 12412230 14894676 18618345 22342014 24824460 37236690 44684028 55855035 74473380 111710070 223420140