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223013252 = 2271167101107
BaseRepresentation
bin11010100101011…
…10100110000100
3120112122020200002
431102232212010
5424042411002
634043540432
75345403260
oct1522564604
9515566602
10223013252
11104981180
126282a718
1337284107
14218930a0
15148a3002
hexd4ae984

223013252 has 96 divisors (see below), whose sum is σ = 503387136. Its totient is φ = 83952000.

The previous prime is 223013251. The next prime is 223013257. The reversal of 223013252 is 252310322.

It is not an unprimeable number, because it can be changed into a prime (223013251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2084183 + ... + 2084289.

It is an arithmetic number, because the mean of its divisors is an integer number (5243616).

Almost surely, 2223013252 is an apocalyptic number.

223013252 is a gapful number since it is divisible by the number (22) 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 223013252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568).

223013252 is an abundant number, since it is smaller than the sum of its proper divisors (280373884).

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

223013252 is a wasteful number, since it uses less digits than its factorization.

223013252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 223013252 is about 14933.6282262550. The cubic root of 223013252 is about 606.4247114416.

Adding to 223013252 its reverse (252310322), we get a palindrome (475323574).

The spelling of 223013252 in words is "two hundred twenty-three million, thirteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 101 107 134 154 202 214 268 308 404 428 469 707 737 749 938 1111 1177 1414 1474 1498 1876 2222 2354 2828 2948 2996 4444 4708 5159 6767 7169 7777 8239 10318 10807 13534 14338 15554 16478 20636 21614 27068 28676 31108 32956 43228 47369 50183 74437 75649 78859 94738 100366 118877 148874 151298 157718 189476 200732 237754 297748 302596 315436 475508 521059 552013 724069 832139 1042118 1104026 1448138 1664278 2084236 2208052 2896276 3328556 5068483 7964759 10136966 15929518 20273932 31859036 55753313 111506626 223013252