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2219749434 = 234712715413
BaseRepresentation
bin1000010001001110…
…1011000000111010
312201200211221210000
42010103223000322
514021223440214
61004132533430
7106002362460
oct20423530072
95650757700
102219749434
11a39a99671
1251b481276
13294b57a06
14170b3c830
15ced1d809
hex844eb03a

2219749434 has 80 divisors (see below), whose sum is σ = 5729568768. Its totient is φ = 629179488.

The previous prime is 2219749421. The next prime is 2219749489. The reversal of 2219749434 is 4349479122.

2219749434 is a `hidden beast` number, since 22 + 197 + 4 + 9 + 434 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (435456) is a multiple of the sum of its prime divisors (15552).

It is a self number, because there is not a number n which added to its sum of digits gives 2219749434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136312 + ... + 151724.

Almost surely, 22219749434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219749434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864784384).

2219749434 is an abundant number, since it is smaller than the sum of its proper divisors (3509819334).

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

2219749434 is a wasteful number, since it uses less digits than its factorization.

2219749434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15561 (or 15552 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2219749434 is about 47114.2168989361. The cubic root of 2219749434 is about 1304.4716688125.

It can be divided in two parts, 22197 and 49434, that added together give a triangular number (71631 = T378).

The spelling of 2219749434 in words is "two billion, two hundred nineteen million, seven hundred forty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 127 162 189 254 378 381 567 762 889 1134 1143 1778 2286 2667 3429 5334 6858 8001 10287 15413 16002 20574 24003 30826 46239 48006 72009 92478 107891 138717 144018 215782 277434 323673 416151 647346 832302 971019 1248453 1942038 1957451 2496906 2913057 3914902 5826114 5872353 8739171 11744706 13702157 17478342 17617059 27404314 35234118 41106471 52851177 82212942 105702354 123319413 158553531 246638826 317107062 369958239 739916478 1109874717 2219749434