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2074219056 = 2433713192777
BaseRepresentation
bin111101110100010…
…0001001000110000
312100120000020122000
41323220201020300
513222000002211
6541453414000
7102254366610
oct17350411060
95316006560
102074219056
1197492a528
1249a79a300
13270962370
14159698a40
15c2173656
hex7ba21230

2074219056 has 320 divisors, whose sum is σ = 7716172800. Its totient is φ = 518068224.

The previous prime is 2074219039. The next prime is 2074219067. The reversal of 2074219056 is 6509124702.

It is a super-2 number, since 2×20742190562 = 8604769384547062272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2074219056.

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 63 ways as a sum of consecutive naturals, for example, 745540 + ... + 748316.

It is an arithmetic number, because the mean of its divisors is an integer number (24113040).

Almost surely, 22074219056 is an apocalyptic number.

2074219056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074219056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858086400).

2074219056 is an abundant number, since it is smaller than the sum of its proper divisors (5641953744).

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

2074219056 is a wasteful number, since it uses less digits than its factorization.

2074219056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2074219056 is about 45543.5951150104. The cubic root of 2074219056 is about 1275.3171695371.

The spelling of 2074219056 in words is "two billion, seventy-four million, two hundred nineteen thousand, fifty-six".