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2059219608 = 233373736217
BaseRepresentation
bin111101010111101…
…0011001010011000
312022111210012020220
41322233103022120
513204130011413
6540200120040
7102013035465
oct17257231230
95274705226
102059219608
11967415196
12495766020
1326a810054
141576b266c
15c0bae223
hex7abd3298

2059219608 has 64 divisors (see below), whose sum is σ = 5302212960. Its totient is φ = 665957376.

The previous prime is 2059219583. The next prime is 2059219621. The reversal of 2059219608 is 8069129502.

It is a self number, because there is not a number n which added to its sum of digits gives 2059219608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328116 + ... + 334332.

Almost surely, 22059219608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059219608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651106480).

2059219608 is an abundant number, since it is smaller than the sum of its proper divisors (3242993352).

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

2059219608 is a wasteful number, since it uses less digits than its factorization.

2059219608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 2059219608 is about 45378.6250122235. The cubic root of 2059219608 is about 1272.2356323492.

The spelling of 2059219608 in words is "two billion, fifty-nine million, two hundred nineteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 373 444 746 888 1119 1492 2238 2984 4476 6217 8952 12434 13801 18651 24868 27602 37302 41403 49736 55204 74604 82806 110408 149208 165612 230029 331224 460058 690087 920116 1380174 1840232 2318941 2760348 4637882 5520696 6956823 9275764 13913646 18551528 27827292 55654584 85800817 171601634 257402451 343203268 514804902 686406536 1029609804 2059219608