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223142556 = 2237131271609
BaseRepresentation
bin11010100110011…
…10001010011100
3120112212211001010
431103032022130
5424111030211
634050415220
75346452250
oct1523161234
9515784033
10223142556
11104a5a33a
1262891510
13372cac20
14218c8260
15148cb4a6
hexd4ce29c

223142556 has 96 divisors (see below), whose sum is σ = 646266880. Its totient is φ = 58351104.

The previous prime is 223142551. The next prime is 223142581. The reversal of 223142556 is 655241322.

223142556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231425563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223142551) 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, 137880 + ... + 139488.

Almost surely, 2223142556 is an apocalyptic number.

223142556 is a gapful number since it is divisible by the number (26) 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 223142556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323133440).

223142556 is an abundant number, since it is smaller than the sum of its proper divisors (423124324).

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

223142556 is a wasteful number, since it uses less digits than its factorization.

223142556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1761 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 223142556 is about 14937.9568884101. The cubic root of 223142556 is about 606.5418913107.

Adding to 223142556 its reverse (655241322), we get a palindrome (878383878).

The spelling of 223142556 in words is "two hundred twenty-three million, one hundred forty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 127 156 182 254 273 364 381 508 546 762 889 1092 1524 1609 1651 1778 2667 3218 3302 3556 4827 4953 5334 6436 6604 9654 9906 10668 11263 11557 19308 19812 20917 22526 23114 33789 34671 41834 45052 46228 62751 67578 69342 83668 125502 135156 138684 146419 204343 251004 292838 408686 439257 585676 613029 817372 878514 1226058 1430401 1757028 2452116 2656459 2860802 4291203 5312918 5721604 7969377 8582406 10625836 15938754 17164812 18595213 31877508 37190426 55785639 74380852 111571278 223142556