Search a number
-
+
2246206100 = 225233766653
BaseRepresentation
bin1000010111100010…
…0110001010010100
312210112122002111112
42011320212022110
514100012043400
61010515554152
7106443302555
oct20570461224
95715562445
102246206100
11a52a19986
125282bb958
1329a48bc48
1417446832c
15d22e7835
hex85e26294

2246206100 has 36 divisors (see below), whose sum is σ = 4888804284. Its totient is φ = 895802880.

The previous prime is 2246206099. The next prime is 2246206103. The reversal of 2246206100 is 16026422.

It can be written as a sum of positive squares in 6 ways, for example, as 778856464 + 1467349636 = 27908^2 + 38306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246206103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374 + ... + 67026.

It is an arithmetic number, because the mean of its divisors is an integer number (135800119).

Almost surely, 22246206100 is an apocalyptic number.

2246206100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246206100 is an abundant number, since it is smaller than the sum of its proper divisors (2642598184).

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

2246206100 is a wasteful number, since it uses less digits than its factorization.

2246206100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67004 (or 66997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2246206100 is about 47394.1568128393. The cubic root of 2246206100 is about 1309.6337767729.

The spelling of 2246206100 in words is "two billion, two hundred forty-six million, two hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 3370 6740 8425 16850 33700 66653 133306 266612 333265 666530 1333060 1666325 3332650 6665300 22462061 44924122 89848244 112310305 224620610 449241220 561551525 1123103050 2246206100