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3221095842 = 2331710932191
BaseRepresentation
bin1011111111111110…
…0000010110100010
322022111001121211000
42333333200112202
523044100031332
61251343132430
7142551601656
oct27777402642
98274047730
103221095842
111403251a88
1275a8a4116
133c4446993
14227b1aa66
1513cbb8b7c
hexbffe05a2

3221095842 has 64 divisors (see below), whose sum is σ = 7648819200. Its totient is φ = 1001237760.

The previous prime is 3221095817. The next prime is 3221095877. The reversal of 3221095842 is 2485901223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3221095797 and 3221095806.

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 31 ways as a sum of consecutive naturals, for example, 83967 + ... + 116157.

It is an arithmetic number, because the mean of its divisors is an integer number (119512800).

Almost surely, 23221095842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221095842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824409600).

3221095842 is an abundant number, since it is smaller than the sum of its proper divisors (4427723358).

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

3221095842 is a wasteful number, since it uses less digits than its factorization.

3221095842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32328 (or 32322 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3221095842 is about 56754.6988539275. The cubic root of 3221095842 is about 1476.8437488605.

The spelling of 3221095842 in words is "three billion, two hundred twenty-one million, ninety-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 109 153 218 306 327 459 654 918 981 1853 1962 2943 3706 5559 5886 11118 16677 32191 33354 50031 64382 96573 100062 193146 289719 547247 579438 869157 1094494 1641741 1738314 3283482 3508819 4925223 7017638 9850446 10526457 14775669 21052914 29551338 31579371 59649923 63158742 94738113 119299846 178949769 189476226 357899538 536849307 1073698614 1610547921 3221095842