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212304200 = 23527114951
BaseRepresentation
bin11001010011110…
…00000101001000
3112210111011121112
430221320011020
5413322213300
633022225452
75155361453
oct1451700510
9483434545
10212304200
11a9927319
125b125288
1334ca48b4
14202a649a
1513989e35
hexca78148

212304200 has 48 divisors (see below), whose sum is σ = 500592960. Its totient is φ = 83720000.

The previous prime is 212304199. The next prime is 212304229. The reversal of 212304200 is 2403212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6725 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (10429020).

Almost surely, 2212304200 is an apocalyptic number.

212304200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250296480).

212304200 is an abundant number, since it is smaller than the sum of its proper divisors (288288760).

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

212304200 is a wasteful number, since it uses less digits than its factorization.

212304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15029 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212304200 is about 14570.6623047822. The cubic root of 212304200 is about 596.5582580666.

Adding to 212304200 its reverse (2403212), we get a palindrome (214707412).

The spelling of 212304200 in words is "two hundred twelve million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 14951 29902 59804 74755 119608 149510 299020 373775 598040 747550 1061521 1495100 2123042 2990200 4246084 5307605 8492168 10615210 21230420 26538025 42460840 53076050 106152100 212304200