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1052210214 = 2321119127823
BaseRepresentation
bin111110101101110…
…111010000100110
32201022220211001200
4332231313100212
54123331211324
6252224303330
735034432156
oct7655672046
92638824050
101052210214
1149aa44120
12254471b46
13139cba5c3
149da5c766
1562595ec9
hex3eb77426

1052210214 has 48 divisors (see below), whose sum is σ = 2500153344. Its totient is φ = 317170800.

The previous prime is 1052210179. The next prime is 1052210227. The reversal of 1052210214 is 4120122501.

It is a super-2 number, since 2×10522102142 = 2214292668891851592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23907 + ... + 51729.

It is an arithmetic number, because the mean of its divisors is an integer number (52086528).

Almost surely, 21052210214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250076672).

1052210214 is an abundant number, since it is smaller than the sum of its proper divisors (1447943130).

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

1052210214 is a wasteful number, since it uses less digits than its factorization.

1052210214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28033 (or 28030 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1052210214 is about 32437.7899062190. The cubic root of 1052210214 is about 1017.1090168346.

Adding to 1052210214 its reverse (4120122501), we get a palindrome (5172332715).

It can be divided in two parts, 10522 and 10214, that added together give a 4-th power (20736 = 124).

The spelling of 1052210214 in words is "one billion, fifty-two million, two hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1146 1719 2101 3438 4202 6303 12606 18909 27823 37818 55646 83469 166938 250407 306053 500814 612106 918159 1836318 2754477 5314193 5508954 10628386 15942579 31885158 47827737 58456123 95655474 116912246 175368369 350736738 526105107 1052210214