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1052212220 = 225296727077
BaseRepresentation
bin111110101101110…
…111101111111100
32201022220220210222
4332231313233330
54123331242340
6252224320512
735034441053
oct7655675774
92638826728
101052212220
1149aa45684
12254473138
13139cbb4a7
149da5d39a
15625968b5
hex3eb77bfc

1052212220 has 48 divisors (see below), whose sum is σ = 2320043040. Its totient is φ = 400291584.

The previous prime is 1052212219. The next prime is 1052212247. The reversal of 1052212220 is 222122501.

It is a super-2 number, since 2×10522122202 = 2214301111834656800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25322 + ... + 52398.

It is an arithmetic number, because the mean of its divisors is an integer number (48334230).

Almost surely, 21052212220 is an apocalyptic number.

1052212220 is a gapful number since it is divisible by the number (10) 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 1052212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160021520).

1052212220 is an abundant number, since it is smaller than the sum of its proper divisors (1267830820).

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

1052212220 is a wasteful number, since it uses less digits than its factorization.

1052212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27182 (or 27180 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1052212220 is about 32437.8208269298. The cubic root of 1052212220 is about 1017.1096631945.

Adding to 1052212220 its reverse (222122501), we get a palindrome (1274334721).

The spelling of 1052212220 in words is "one billion, fifty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 3886 7772 9715 19430 27077 38860 54154 108308 135385 270770 541540 785233 1570466 1814159 3140932 3628318 3926165 7256636 7852330 9070795 15704660 18141590 36283180 52610611 105221222 210442444 263053055 526106110 1052212220