Search a number
-
+
223149520 = 245112391061
BaseRepresentation
bin11010100110011…
…11110111010000
3120112220011121001
431103033313100
5424111241040
634050511344
75346511456
oct1523176720
9515804531
10223149520
11104a645a0
1262895554
1337301149
14218ca9d6
15148cd59a
hexd4cfdd0

223149520 has 80 divisors (see below), whose sum is σ = 568892160. Its totient is φ = 80729600.

The previous prime is 223149517. The next prime is 223149523. The reversal of 223149520 is 25941322.

It is an interprime number because it is at equal distance from previous prime (223149517) and next prime (223149523).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2231495203 (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 (223149523) 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, 209790 + ... + 210850.

It is an arithmetic number, because the mean of its divisors is an integer number (7111152).

Almost surely, 2223149520 is an apocalyptic number.

223149520 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 223149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284446080).

223149520 is an abundant number, since it is smaller than the sum of its proper divisors (345742640).

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

223149520 is a wasteful number, since it uses less digits than its factorization.

223149520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 223149520 is about 14938.1899840643. The cubic root of 223149520 is about 606.5482010496.

The spelling of 223149520 in words is "two hundred twenty-three million, one hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 440 478 880 956 1061 1195 1912 2122 2390 2629 3824 4244 4780 5258 5305 8488 9560 10516 10610 11671 13145 16976 19120 21032 21220 23342 26290 42064 42440 46684 52580 58355 84880 93368 105160 116710 186736 210320 233420 253579 466840 507158 933680 1014316 1267895 2028632 2535790 2789369 4057264 5071580 5578738 10143160 11157476 13946845 20286320 22314952 27893690 44629904 55787380 111574760 223149520