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203214252 = 223292931993
BaseRepresentation
bin11000001110011…
…00110110101100
3112011101100112210
430013030312230
5404010324002
632055330420
75015202243
oct1407146654
9464340483
10203214252
11a478896a
1258080a10
1333141327
141cdbb95a
1512c9196c
hexc1ccdac

203214252 has 48 divisors (see below), whose sum is σ = 492438240. Its totient is φ = 65146368.

The previous prime is 203214251. The next prime is 203214301. The reversal of 203214252 is 252412302.

203214252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203214251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100968 + ... + 102960.

It is an arithmetic number, because the mean of its divisors is an integer number (10259130).

Almost surely, 2203214252 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 203214252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246219120).

203214252 is an abundant number, since it is smaller than the sum of its proper divisors (289223988).

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

203214252 is a wasteful number, since it uses less digits than its factorization.

203214252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 203214252 is about 14255.3236371539. The cubic root of 203214252 is about 587.9197562763.

Adding to 203214252 its reverse (252412302), we get a palindrome (455626554).

The spelling of 203214252 in words is "two hundred three million, two hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 293 348 586 879 1172 1758 1993 3516 3986 5979 7972 8497 11958 16994 23916 25491 33988 50982 57797 101964 115594 173391 231188 346782 583949 693564 1167898 1751847 2335796 3503694 7007388 16934521 33869042 50803563 67738084 101607126 203214252