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213231400 = 23521066157
BaseRepresentation
bin11001011010110…
…10011100101000
3112212020021111021
430231122130220
5414041401100
633054142224
75166302614
oct1455323450
9485207437
10213231400
11aa3aa9a8
125b4b1974
133523a935
1420468344
1513abea1a
hexcb5a728

213231400 has 24 divisors (see below), whose sum is σ = 495763470. Its totient is φ = 85292480.

The previous prime is 213231397. The next prime is 213231427. The reversal of 213231400 is 4132312.

It is a happy number.

213231400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 195608196 + 17623204 = 13986^2 + 4198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532879 + ... + 533278.

Almost surely, 2213231400 is an apocalyptic number.

213231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213231400 is an abundant number, since it is smaller than the sum of its proper divisors (282532070).

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

213231400 is a wasteful number, since it uses less digits than its factorization.

213231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066173 (or 1066164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213231400 is about 14602.4450007524. The cubic root of 213231400 is about 597.4254501037.

Adding to 213231400 its reverse (4132312), we get a palindrome (217363712).

The spelling of 213231400 in words is "two hundred thirteen million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1066157 2132314 4264628 5330785 8529256 10661570 21323140 26653925 42646280 53307850 106615700 213231400