Search a number
-
+
223021240 = 235131922573
BaseRepresentation
bin11010100101100…
…00100010111000
3120112122122121221
431102300202320
5424043134430
634044041424
75345435461
oct1522604270
9515578557
10223021240
11104987182
1262833274
1337287940
1421895d68
15148a557a
hexd4b08b8

223021240 has 64 divisors (see below), whose sum is σ = 568864800. Its totient is φ = 78008832.

The previous prime is 223021217. The next prime is 223021241. The reversal of 223021240 is 42120322.

It is a super-2 number, since 2×2230212402 = 99476946982275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223021241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407 + ... + 21166.

Almost surely, 2223021240 is an apocalyptic number.

223021240 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 223021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284432400).

223021240 is an abundant number, since it is smaller than the sum of its proper divisors (345843560).

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

223021240 is a wasteful number, since it uses less digits than its factorization.

223021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22616 (or 22612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 223021240 is about 14933.8956739359. The cubic root of 223021240 is about 606.4319517628.

Adding to 223021240 its reverse (42120322), we get a palindrome (265141562).

The spelling of 223021240 in words is "two hundred twenty-three million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 22573 45146 90292 112865 180584 225730 293449 428887 451460 586898 857774 902920 1173796 1467245 1715548 2144435 2347592 2934490 3431096 4288870 5575531 5868980 8577740 11151062 11737960 17155480 22302124 27877655 44604248 55755310 111510620 223021240