Search a number
-
+
224133630 = 23574324821
BaseRepresentation
bin11010101110000…
…00000111111110
3120121202011112120
431113000013332
5424334234010
634123543410
75361050550
oct1527000776
9517664476
10224133630
11105576a06
126308ab66
1337587066
1421aa54d0
1514a24e70
hexd5c01fe

224133630 has 64 divisors (see below), whose sum is σ = 629088768. Its totient is φ = 50037120.

The previous prime is 224133629. The next prime is 224133653. The reversal of 224133630 is 36331422.

It is a self number, because there is not a number n which added to its sum of digits gives 224133630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (9829512).

Almost surely, 2224133630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224133630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314544384).

224133630 is an abundant number, since it is smaller than the sum of its proper divisors (404955138).

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

224133630 is a wasteful number, since it uses less digits than its factorization.

224133630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24881.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 224133630 is about 14971.0931464606. The cubic root of 224133630 is about 607.4385380418.

The spelling of 224133630 in words is "two hundred twenty-four million, one hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 4515 9030 24821 49642 74463 124105 148926 173747 248210 347494 372315 521241 744630 868735 1042482 1067303 1737470 2134606 2606205 3201909 5212410 5336515 6403818 7471121 10673030 14942242 16009545 22413363 32019090 37355605 44826726 74711210 112066815 224133630