Search a number
-
+
2211230034 = 2321326935129
BaseRepresentation
bin1000001111001100…
…1011000101010010
312201002211010100200
42003303023011102
514012033330114
61003230200030
7105540100536
oct20363130522
95632733320
102211230034
11a351aa942
12518653016
13293164050
1416d961bc6
15ce1d9409
hex83ccb152

2211230034 has 48 divisors (see below), whose sum is σ = 5178864600. Its totient is φ = 677829888.

The previous prime is 2211230027. The next prime is 2211230041. The reversal of 2211230034 is 4300321122.

It is an interprime number because it is at equal distance from previous prime (2211230027) and next prime (2211230041).

It can be written as a sum of positive squares in 4 ways, for example, as 421686225 + 1789543809 = 20535^2 + 42303^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2211229989 and 2211230016.

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, 45382 + ... + 80510.

Almost surely, 22211230034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211230034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589432300).

2211230034 is an abundant number, since it is smaller than the sum of its proper divisors (2967634566).

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

2211230034 is a wasteful number, since it uses less digits than its factorization.

2211230034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35419 (or 35416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2211230034 is about 47023.7177815621. The cubic root of 2211230034 is about 1302.8006748111.

Adding to 2211230034 its reverse (4300321122), we get a palindrome (6511551156).

The spelling of 2211230034 in words is "two billion, two hundred eleven million, two hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 269 538 807 1614 2421 3497 4842 6994 10491 20982 31473 35129 62946 70258 105387 210774 316161 456677 632322 913354 1370031 2740062 4110093 8220186 9449701 18899402 28349103 56698206 85047309 122846113 170094618 245692226 368538339 737076678 1105615017 2211230034