Search a number
-
+
223700340 = 223531127947
BaseRepresentation
bin11010101010101…
…10010101110100
3120120221011011210
431111112111310
5424231402330
634110401420
75354264403
oct1525262564
9516834153
10223700340
11105300416
1262b00270
1337464a86
14219d163a
151498b8b0
hexd556574

223700340 has 96 divisors (see below), whose sum is σ = 652345344. Its totient is φ = 57214080.

The previous prime is 223700311. The next prime is 223700353. The reversal of 223700340 is 43007322.

It is a happy number.

It is a super-2 number, since 2×2237003402 = 100083684232231200, which contains 22 as substring.

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, 235747 + ... + 236693.

It is an arithmetic number, because the mean of its divisors is an integer number (6795264).

Almost surely, 2223700340 is an apocalyptic number.

223700340 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 223700340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326172672).

223700340 is an abundant number, since it is smaller than the sum of its proper divisors (428645004).

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

223700340 is a wasteful number, since it uses less digits than its factorization.

223700340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 223700340 is about 14956.6152588077. The cubic root of 223700340 is about 607.0468567805.

Adding to 223700340 its reverse (43007322), we get a palindrome (266707662).

The spelling of 223700340 in words is "two hundred twenty-three million, seven hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 127 155 186 254 310 372 381 465 508 620 635 762 930 947 1270 1524 1860 1894 1905 2540 2841 3788 3810 3937 4735 5682 7620 7874 9470 11364 11811 14205 15748 18940 19685 23622 28410 29357 39370 47244 56820 58714 59055 78740 88071 117428 118110 120269 146785 176142 236220 240538 293570 352284 360807 440355 481076 587140 601345 721614 880710 1202690 1443228 1761420 1804035 2405380 3608070 3728339 7216140 7456678 11185017 14913356 18641695 22370034 37283390 44740068 55925085 74566780 111850170 223700340