Search a number
-
+
212513058 = 2348811489
BaseRepresentation
bin11001010101010…
…11000100100010
3112210212210010000
430222223010202
5413400404213
633030520430
75160221412
oct1452530442
9483783100
10212513058
11a9a5a22a
125b206116
1335048994
142031c642
15139cbc73
hexcaab122

212513058 has 40 divisors (see below), whose sum is σ = 477047340. Its totient is φ = 70709760.

The previous prime is 212513053. The next prime is 212513101. The reversal of 212513058 is 850315212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 190357209 + 22155849 = 13797^2 + 4707^2 .

It is a super-3 number, since 3×2125130583 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212513053) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141978 + ... + 143466.

Almost surely, 2212513058 is an apocalyptic number.

212513058 is an abundant number, since it is smaller than the sum of its proper divisors (264534282).

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

212513058 is a wasteful number, since it uses less digits than its factorization.

212513058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 212513058 is about 14577.8276159378. The cubic root of 212513058 is about 596.7538188533.

The spelling of 212513058 in words is "two hundred twelve million, five hundred thirteen thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 881 1489 1762 2643 2978 4467 5286 7929 8934 13401 15858 23787 26802 40203 47574 71361 80406 120609 142722 241218 1311809 2623618 3935427 7870854 11806281 23612562 35418843 70837686 106256529 212513058