Search a number
-
+
203145232 = 2429231487
BaseRepresentation
bin11000001101111…
…00000000010000
3112011020211212111
430012330000100
5404001121412
632054035104
75014464103
oct1406740020
9464224774
10203145232
11a4741024
1258048a94
1333118aa4
141cda073a
1512c7b2a7
hexc1bc010

203145232 has 60 divisors (see below), whose sum is σ = 421647616. Its totient is φ = 94711680.

The previous prime is 203145227. The next prime is 203145253. The reversal of 203145232 is 232541302.

It is a super-3 number, since 3×2031452323 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416893 + ... + 417379.

Almost surely, 2203145232 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 203145232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210823808).

203145232 is an abundant number, since it is smaller than the sum of its proper divisors (218502384).

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

203145232 is a wasteful number, since it uses less digits than its factorization.

203145232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 203145232 is about 14252.9025815797. The cubic root of 203145232 is about 587.8531880836.

Adding to 203145232 its reverse (232541302), we get a palindrome (435686534).

The spelling of 203145232 in words is "two hundred three million, one hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 487 496 841 899 974 1682 1798 1948 3364 3596 3896 6728 7192 7792 13456 14123 14384 15097 26071 28246 30194 52142 56492 60388 104284 112984 120776 208568 225968 241552 409567 417136 437813 819134 875626 1638268 1751252 3276536 3502504 6553072 7005008 12696577 25393154 50786308 101572616 203145232