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213214300 = 225213164011
BaseRepresentation
bin11001011010101…
…10010001011100
3112212012102000221
430231112101130
5414040324200
633053531124
75166202015
oct1455262134
9485172027
10213214300
11aa399072
125b4a3aa4
1335232c10
142046200c
1513ab991a
hexcb5645c

213214300 has 36 divisors (see below), whose sum is σ = 498268456. Its totient is φ = 78724800.

The previous prime is 213214297. The next prime is 213214303. The reversal of 213214300 is 3412312.

It is a happy number.

213214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213214297) and next prime (213214303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213214303) 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, 80706 + ... + 83305.

Almost surely, 2213214300 is an apocalyptic number.

213214300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213214300 is an abundant number, since it is smaller than the sum of its proper divisors (285054156).

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

213214300 is a wasteful number, since it uses less digits than its factorization.

213214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164038 (or 164031 counting only the distinct ones).

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

The square root of 213214300 is about 14601.8594706291. The cubic root of 213214300 is about 597.4094795848.

Adding to 213214300 its reverse (3412312), we get a palindrome (216626612).

The spelling of 213214300 in words is "two hundred thirteen million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 164011 328022 656044 820055 1640110 2132143 3280220 4100275 4264286 8200550 8528572 10660715 16401100 21321430 42642860 53303575 106607150 213214300