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203213312 = 29735437
BaseRepresentation
bin11000001110011…
…00101000000000
3112011101022020222
430013030220000
5404010311222
632055322212
75015166431
oct1407145000
9464338228
10203213312
11a4788195
1258080368
1333140a83
141cdbb488
1512c91542
hexc1cca00

203213312 has 40 divisors (see below), whose sum is σ = 411667476. Its totient is φ = 100196352.

The previous prime is 203213279. The next prime is 203213317. The reversal of 203213312 is 213312302.

It can be written as a sum of positive squares in 2 ways, for example, as 202322176 + 891136 = 14224^2 + 944^2 .

It is not an unprimeable number, because it can be changed into a prime (203213317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34658 + ... + 40094.

Almost surely, 2203213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205833738).

203213312 is an abundant number, since it is smaller than the sum of its proper divisors (208454164).

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

203213312 is an frugal number, since it uses more digits than its factorization.

203213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 203213312 is about 14255.2906669769. The cubic root of 203213312 is about 587.9188497693.

Adding to 203213312 its reverse (213312302), we get a palindrome (416525614).

The spelling of 203213312 in words is "two hundred three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 2336 4672 5437 9344 10874 18688 21748 37376 43496 86992 173984 347968 396901 695936 793802 1391872 1587604 2783744 3175208 6350416 12700832 25401664 50803328 101606656 203213312