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224000024424 = 233111018400841
BaseRepresentation
bin1101000010011101110…
…0010001111101101000
3210102011221120020200220
43100213130101331220
512132223001240144
6250523145530040
722116633535461
oct3204734217550
9712157506626
10224000024424
1186aa81a0830
12374b51a3920
131817a626667
14abad725d68
155c6046c919
hex3427711f68

224000024424 has 64 divisors (see below), whose sum is σ = 616957836480. Its totient is φ = 67206720000.

The previous prime is 224000024401. The next prime is 224000024453. The reversal of 224000024424 is 424420000422.

224000024424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 224000024394 and 224000024403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4173757 + ... + 4227084.

It is an arithmetic number, because the mean of its divisors is an integer number (9639966195).

Almost surely, 2224000024424 is an apocalyptic number.

224000024424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224000024424 is an abundant number, since it is smaller than the sum of its proper divisors (392957812056).

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

224000024424 is a wasteful number, since it uses less digits than its factorization.

224000024424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400962 (or 8400958 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 224000024424 its reverse (424420000422), we get a palindrome (648420024846).

The spelling of 224000024424 in words is "two hundred twenty-four billion, twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 8400841 16801682 25202523 33603364 50405046 67206728 92409251 100810092 184818502 201620184 277227753 369637004 554455506 739274008 848484941 1108911012 1696969882 2217822024 2545454823 3393939764 5090909646 6787879528 9333334351 10181819292 18666668702 20363638584 28000003053 37333337404 56000006106 74666674808 112000012212 224000024424