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224213430 = 23572361761
BaseRepresentation
bin11010101110100…
…11100110110110
3120121220020000010
431113103212312
5424344312210
634125401050
75361532320
oct1527234666
9517806003
10224213430
11105620961
1263109186
13375b448c
1421ac6610
1514a3d920
hexd5d39b6

224213430 has 128 divisors (see below), whose sum is σ = 653101056. Its totient is φ = 48153600.

The previous prime is 224213411. The next prime is 224213449. The reversal of 224213430 is 34312422.

It is an interprime number because it is at equal distance from previous prime (224213411) and next prime (224213449).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224213397 and 224213406.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 294250 + ... + 295010.

It is an arithmetic number, because the mean of its divisors is an integer number (5102352).

Almost surely, 2224213430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326550528).

224213430 is an abundant number, since it is smaller than the sum of its proper divisors (428887626).

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

224213430 is a wasteful number, since it uses less digits than its factorization.

224213430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 224213430 is about 14973.7580453272. The cubic root of 224213430 is about 607.5106198079.

Adding to 224213430 its reverse (34312422), we get a palindrome (258525852).

The spelling of 224213430 in words is "two hundred twenty-four million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 61 69 70 105 115 122 138 161 183 210 230 305 322 345 366 427 483 610 690 761 805 854 915 966 1281 1403 1522 1610 1830 2135 2283 2415 2562 2806 3805 4209 4270 4566 4830 5327 6405 7015 7610 8418 9821 10654 11415 12810 14030 15981 17503 19642 21045 22830 26635 29463 31962 35006 42090 46421 49105 52509 53270 58926 79905 87515 92842 98210 105018 122521 139263 147315 159810 175030 232105 245042 262545 278526 294630 324947 367563 464210 525090 612605 649894 696315 735126 974841 1067683 1225210 1392630 1624735 1837815 1949682 2135366 3203049 3249470 3675630 4874205 5338415 6406098 7473781 9748410 10676830 14947562 16015245 22421343 32030490 37368905 44842686 74737810 112106715 224213430