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3334422100 = 2252194340813
BaseRepresentation
bin1100011010111111…
…0011111001010100
322121101022012012211
43012233303321110
523312103001400
61310512123204
7145426056142
oct30657637124
98541265184
103334422100
111461215749
12790836504
13411a75039
14238bba592
15147b01dba
hexc6bf3e54

3334422100 has 72 divisors (see below), whose sum is σ = 7793841440. Its totient is φ = 1234154880.

The previous prime is 3334422089. The next prime is 3334422103. The reversal of 3334422100 is 12244333.

It is a happy number.

It is a super-2 number, since 2×33344221002 = 22236741481936820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334422103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61294 + ... + 102106.

Almost surely, 23334422100 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 3334422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896920720).

3334422100 is an abundant number, since it is smaller than the sum of its proper divisors (4459419340).

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

3334422100 is a wasteful number, since it uses less digits than its factorization.

3334422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40889 (or 40882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3334422100 is about 57744.4551450613. The cubic root of 3334422100 is about 1493.9642046181.

Adding to 3334422100 its reverse (12244333), we get a palindrome (3346666433).

The spelling of 3334422100 in words is "three billion, three hundred thirty-four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 950 1075 1634 1900 2150 3268 4085 4300 8170 16340 20425 40813 40850 81626 81700 163252 204065 408130 775447 816260 1020325 1550894 1754959 2040650 3101788 3509918 3877235 4081300 7019836 7754470 8774795 15508940 17549590 19386175 33344221 35099180 38772350 43873975 66688442 77544700 87747950 133376884 166721105 175495900 333442210 666884420 833605525 1667211050 3334422100