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224200335080 = 23540173319069
BaseRepresentation
bin1101000011001101100…
…0011001111011101000
3210102200220111002021002
43100303120121323220
512133130241210310
6250555103134132
722124615255531
oct3206330317350
9712626432232
10224200335080
11870a0276127
12375502a4348
13181acc8c187
14abcc189688
155c72d38da5
hex3433619ee8

224200335080 has 64 divisors (see below), whose sum is σ = 506425208400. Its totient is φ = 89329766400.

The previous prime is 224200335071. The next prime is 224200335109. The reversal of 224200335080 is 80533002422.

224200335080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 218393590276 + 5806744804 = 467326^2 + 76202^2 .

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, 11747786 + ... + 11766854.

Almost surely, 2224200335080 is an apocalyptic number.

224200335080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224200335080 is an abundant number, since it is smaller than the sum of its proper divisors (282224873320).

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

224200335080 is a wasteful number, since it uses less digits than its factorization.

224200335080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20214 (or 20210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 224200335080 in words is "two hundred twenty-four billion, two hundred million, three hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 401 733 802 1466 1604 2005 2932 3208 3665 4010 5864 7330 8020 14660 16040 19069 29320 38138 76276 95345 152552 190690 293933 381380 587866 762760 1175732 1469665 2351464 2939330 5878660 7646669 11757320 13977577 15293338 27955154 30586676 38233345 55910308 61173352 69887885 76466690 111820616 139775770 152933380 279551540 305866760 559103080 5605008377 11210016754 22420033508 28025041885 44840067016 56050083770 112100167540 224200335080