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203106468 = 223233719889
BaseRepresentation
bin11000001101100…
…10100010100100
3112011011212200210
430012302202210
5403443401333
632053135420
75014243065
oct1406624244
9464155623
10203106468
11a4714994
125802a570
1333104256
141cd9056c
1512c6ea63
hexc1b28a4

203106468 has 48 divisors (see below), whose sum is σ = 507911040. Its totient is φ = 63005184.

The previous prime is 203106427. The next prime is 203106469. The reversal of 203106468 is 864601302.

It is not an unprimeable number, because it can be changed into a prime (203106469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 268 + ... + 20156.

It is an arithmetic number, because the mean of its divisors is an integer number (10581480).

Almost surely, 2203106468 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 203106468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

203106468 is an abundant number, since it is smaller than the sum of its proper divisors (304804572).

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

203106468 is a wasteful number, since it uses less digits than its factorization.

203106468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19956 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 203106468 is about 14251.5426533411. The cubic root of 203106468 is about 587.8157944903.

The spelling of 203106468 in words is "two hundred three million, one hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 19889 39778 59667 79556 119334 238668 457447 735893 914894 1372341 1471786 1829788 2207679 2744682 2943572 4415358 5489364 8830716 16925539 33851078 50776617 67702156 101553234 203106468