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203152664 = 231113311571
BaseRepresentation
bin11000001101111…
…01110100011000
3112011021020001202
430012331310120
5404001341124
632054133332
75014524551
oct1406756430
9464236052
10203152664
11a4746670
1258051248
133311c2a0
141cda3328
1512c7d5ae
hexc1bdd18

203152664 has 64 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 84816000.

The previous prime is 203152633. The next prime is 203152667. The reversal of 203152664 is 466251302.

203152664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203152667) 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, 355499 + ... + 356069.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2203152664 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 203152664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

203152664 is an abundant number, since it is smaller than the sum of its proper divisors (246576616).

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

203152664 is a wasteful number, since it uses less digits than its factorization.

203152664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 203152664 is about 14253.1632980191. The cubic root of 203152664 is about 587.8603568000.

The spelling of 203152664 in words is "two hundred three million, one hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 311 571 572 622 1142 1144 1244 2284 2488 3421 4043 4568 6281 6842 7423 8086 12562 13684 14846 16172 25124 27368 29692 32344 44473 50248 59384 81653 88946 163306 177581 177892 326612 355162 355784 653224 710324 1420648 1953391 2308553 3906782 4617106 7813564 9234212 15627128 18468424 25394083 50788166 101576332 203152664