Search a number
-
+
1052200008 = 233289164201
BaseRepresentation
bin111110101101110…
…100110001001000
32201022220022001200
4332231310301020
54123330400013
6252224144200
735034360336
oct7655646110
92638808050
101052200008
1149aa37492
12254468060
13139cb5a72
149da58b56
1562592e73
hex3eb74c48

1052200008 has 48 divisors (see below), whose sum is σ = 2881745100. Its totient is φ = 346790400.

The previous prime is 1052200003. The next prime is 1052200063. The reversal of 1052200008 is 8000022501.

It can be written as a sum of positive squares in 2 ways, for example, as 1000963044 + 51236964 = 31638^2 + 7158^2 .

It is a super-2 number, since 2×10522000082 = 2214249713670400128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75693 + ... + 88508.

Almost surely, 21052200008 is an apocalyptic number.

1052200008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1052200008 is an abundant number, since it is smaller than the sum of its proper divisors (1829545092).

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

1052200008 is a wasteful number, since it uses less digits than its factorization.

1052200008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164302 (or 164295 counting only the distinct ones).

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

The square root of 1052200008 is about 32437.6325893244. The cubic root of 1052200008 is about 1017.1057283130.

Adding to 1052200008 its reverse (8000022501), we get a palindrome (9052222509).

The spelling of 1052200008 in words is "one billion, fifty-two million, two hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 164201 328402 492603 656804 985206 1313608 1477809 1970412 2955618 3940824 5911236 11822472 14613889 29227778 43841667 58455556 87683334 116911112 131525001 175366668 263050002 350733336 526100004 1052200008