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228144726 = 232177110501
BaseRepresentation
bin11011001100100…
…11011001010110
3120220021221201200
431212103121112
5431401112401
634345533330
75440124655
oct1546233126
9526257650
10228144726
11107866567
12644a4246
133835c9a4
142242b19c
1515068686
hexd993656

228144726 has 48 divisors (see below), whose sum is σ = 530813088. Its totient is φ = 70560000.

The previous prime is 228144703. The next prime is 228144727. The reversal of 228144726 is 627441822.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228144727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16476 + ... + 26976.

It is an arithmetic number, because the mean of its divisors is an integer number (11058606).

Almost surely, 2228144726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228144726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265406544).

228144726 is an abundant number, since it is smaller than the sum of its proper divisors (302668362).

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

228144726 is a wasteful number, since it uses less digits than its factorization.

228144726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10594 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 228144726 is about 15104.4604670276. The cubic root of 228144726 is about 611.0407084541.

The spelling of 228144726 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 3621 7242 10501 10863 21002 21726 31503 63006 94509 178517 189018 357034 535551 745571 1071102 1491142 1606653 2236713 3213306 4473426 6710139 12674707 13420278 25349414 38024121 76048242 114072363 228144726