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223211340 = 2232511791427
BaseRepresentation
bin11010100110111…
…10111101001100
3120120000022101200
431103132331030
5424120230330
634052105500
75350156632
oct1523367514
9516008350
10223211340
11104aa6a90
1262905290
1337323321
1421905352
15148e1a60
hexd4def4c

223211340 has 144 divisors (see below), whose sum is σ = 748500480. Its totient is φ = 53389440.

The previous prime is 223211327. The next prime is 223211353. The reversal of 223211340 is 43112322.

223211340 is a `hidden beast` number, since 2 + 2 + 321 + 1 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (223211327) and next prime (223211353).

It is a super-3 number, since 3×2232113403 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155707 + ... + 157133.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2223211340 is an apocalyptic number.

223211340 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 223211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

223211340 is an abundant number, since it is smaller than the sum of its proper divisors (525289140).

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

223211340 is a wasteful number, since it uses less digits than its factorization.

223211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223211340 is about 14940.2590338990. The cubic root of 223211340 is about 606.6042073657.

Adding to 223211340 its reverse (43112322), we get a palindrome (266323662).

The spelling of 223211340 in words is "two hundred twenty-three million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 158 165 180 198 220 237 316 330 395 396 474 495 660 711 790 869 948 990 1185 1422 1427 1580 1738 1980 2370 2607 2844 2854 3476 3555 4281 4345 4740 5214 5708 7110 7135 7821 8562 8690 10428 12843 13035 14220 14270 15642 15697 17124 17380 21405 25686 26070 28540 31284 31394 39105 42810 47091 51372 52140 62788 64215 78210 78485 85620 94182 112733 128430 141273 156420 156970 188364 225466 235455 256860 282546 313940 338199 450932 470910 563665 565092 676398 706365 941820 1014597 1127330 1240063 1352796 1412730 1690995 2029194 2254660 2480126 2825460 3381990 3720189 4058388 4960252 5072985 6200315 6763980 7440378 10145970 11160567 12400630 14880756 18600945 20291940 22321134 24801260 37201890 44642268 55802835 74403780 111605670 223211340