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220404100434 = 23726611134151
BaseRepresentation
bin1100110101000100011…
…0111010110101010010
3210001220100012101022220
43031101012322311102
512102341422203214
6245130252441510
721631550641200
oct3152106726522
9701810171286
10220404100434
1185522406921
1236870a79296
1317a2664289b
14a94bd18070
155aee9139a9
hex33511bad52

220404100434 has 48 divisors (see below), whose sum is σ = 513553098816. Its totient is φ = 62877276000.

The previous prime is 220404100429. The next prime is 220404100451. The reversal of 220404100434 is 434001404022.

It is a happy number.

220404100434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 372742 + ... + 761409.

It is an arithmetic number, because the mean of its divisors is an integer number (10699022892).

Almost surely, 2220404100434 is an apocalyptic number.

220404100434 is an abundant number, since it is smaller than the sum of its proper divisors (293148998382).

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

220404100434 is a wasteful number, since it uses less digits than its factorization.

220404100434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134831 (or 1134824 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220404100434 its reverse (434001404022), we get a palindrome (654405504456).

The spelling of 220404100434 in words is "two hundred twenty billion, four hundred four million, one hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 661 1322 1983 3966 4627 9254 13881 27762 32389 64778 97167 194334 1134151 2268302 3402453 6804906 7939057 15878114 23817171 47634342 55573399 111146798 166720197 333440394 749673811 1499347622 2249021433 4498042866 5247716677 10495433354 15743150031 31486300062 36734016739 73468033478 110202050217 220404100434