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1982226990 = 235718531091
BaseRepresentation
bin111011000100110…
…0110001000101110
312010010220120020110
41312021212020232
513024422230430
6524410000450
7100056436302
oct16611461056
95103816213
101982226990
11927a08527
12473a16126
132578937a3
1414b38dd02
15b90517b0
hex7626622e

1982226990 has 64 divisors (see below), whose sum is σ = 4834432512. Its totient is φ = 520060800.

The previous prime is 1982226929. The next prime is 1982226997. The reversal of 1982226990 is 996222891.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982226997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816345 + ... + 1817435.

It is an arithmetic number, because the mean of its divisors is an integer number (75538008).

Almost surely, 21982226990 is an apocalyptic number.

1982226990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982226990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417216256).

1982226990 is an abundant number, since it is smaller than the sum of its proper divisors (2852205522).

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

1982226990 is a wasteful number, since it uses less digits than its factorization.

1982226990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025.

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 1982226990 is about 44522.2078293519. The cubic root of 1982226990 is about 1256.1778416512.

The spelling of 1982226990 in words is "one billion, nine hundred eighty-two million, two hundred twenty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 853 1065 1091 1706 2130 2182 2559 3273 4265 5118 5455 6546 8530 10910 12795 16365 25590 32730 60563 77461 121126 154922 181689 232383 302815 363378 387305 464766 605630 774610 908445 930623 1161915 1816890 1861246 2323830 2791869 4653115 5583738 9306230 13959345 27918690 66074233 132148466 198222699 330371165 396445398 660742330 991113495 1982226990