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224024200040 = 23517329447353
BaseRepresentation
bin1101000010100011100…
…0100000001101101000
3210102020122001111102002
43100220320200031220
512132300143400130
6250525412030132
722120346165354
oct3205070401550
9712218044362
10224024200040
118700a903283
1237501302348
131818263c564
14abb2a1a464
155c62645b45
hex3428e20368

224024200040 has 32 divisors (see below), whose sum is σ = 533704713480. Its totient is φ = 84338522112.

The previous prime is 224024200021. The next prime is 224024200063. The reversal of 224024200040 is 40002420422.

It can be written as a sum of positive squares in 4 ways, for example, as 216282663844 + 7741536196 = 465062^2 + 87986^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224024199985 and 224024200021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164722997 + ... + 164724356.

Almost surely, 2224024200040 is an apocalyptic number.

224024200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224024200040 is an abundant number, since it is smaller than the sum of its proper divisors (309680513440).

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

224024200040 is a wasteful number, since it uses less digits than its factorization.

224024200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329447381 (or 329447377 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 224024200040 its reverse (40002420422), we get a palindrome (264026620462).

The spelling of 224024200040 in words is "two hundred twenty-four billion, twenty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 329447353 658894706 1317789412 1647236765 2635578824 3294473530 5600605001 6588947060 11201210002 13177894120 22402420004 28003025005 44804840008 56006050010 112012100020 224024200040