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226690434 = 23353103769
BaseRepresentation
bin11011000001100…
…00010110000010
3120210120001211000
431200300112002
5431013043214
634254432430
75421560025
oct1540602602
9523501730
10226690434
11106a62973
1263b02716
1337c70a69
142216d1bc
1514d7c809
hexd830582

226690434 has 64 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 73322496.

The previous prime is 226690417. The next prime is 226690439. The reversal of 226690434 is 434096622.

It is not an unprimeable number, because it can be changed into a prime (226690439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294402 + ... + 295170.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2226690434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226690434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

226690434 is an abundant number, since it is smaller than the sum of its proper divisors (292227966).

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

226690434 is a wasteful number, since it uses less digits than its factorization.

226690434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 226690434 is about 15056.2423598984. The cubic root of 226690434 is about 609.7395950228.

The spelling of 226690434 in words is "two hundred twenty-six million, six hundred ninety thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 103 106 159 206 309 318 477 618 769 927 954 1431 1538 1854 2307 2781 2862 4614 5459 5562 6921 10918 13842 16377 20763 32754 40757 41526 49131 79207 81514 98262 122271 147393 158414 237621 244542 294786 366813 475242 712863 733626 1100439 1425726 2138589 2200878 4197971 4277178 8395942 12593913 25187826 37781739 75563478 113345217 226690434