Search a number
-
+
226204032 = 2734571289
BaseRepresentation
bin11010111101110…
…01100110000000
3120202122100121010
431132321212000
5430402012112
634240200520
75414462655
oct1536714600
9522570533
10226204032
1110676048a
1263909140
1337b30552
1422083c2c
1514cd363c
hexd7b9980

226204032 has 64 divisors (see below), whose sum is σ = 602636400. Its totient is φ = 75177984.

The previous prime is 226204021. The next prime is 226204039. The reversal of 226204032 is 230402622.

226204032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226204039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174844 + ... + 176132.

Almost surely, 2226204032 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 226204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301318200).

226204032 is an abundant number, since it is smaller than the sum of its proper divisors (376432368).

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

226204032 is a wasteful number, since it uses less digits than its factorization.

226204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 226204032 is about 15040.0808508465. The cubic root of 226204032 is about 609.3031835313.

Adding to 226204032 its reverse (230402622), we get a palindrome (456606654).

The spelling of 226204032 in words is "two hundred twenty-six million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 457 914 1289 1371 1828 2578 2742 3656 3867 5156 5484 7312 7734 10312 10968 14624 15468 20624 21936 29248 30936 41248 43872 58496 61872 82496 87744 123744 164992 175488 247488 494976 589073 1178146 1767219 2356292 3534438 4712584 7068876 9425168 14137752 18850336 28275504 37700672 56551008 75401344 113102016 226204032