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228224022 = 231321731301
BaseRepresentation
bin11011001101001…
…10110000010110
3120220102222111120
431212212300112
5431411132042
634351344410
75440605105
oct1546466026
9526388446
10228224022
111079100a4
1264522106
1338389b00
142244c03c
1515081dec
hexd9a6c16

228224022 has 48 divisors (see below), whose sum is σ = 497499408. Its totient is φ = 69763200.

The previous prime is 228223993. The next prime is 228224023. The reversal of 228224022 is 220422822.

228224022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 228223983 and 228224001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228224023) 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, 174772 + ... + 176072.

It is an arithmetic number, because the mean of its divisors is an integer number (10364571).

Almost surely, 2228224022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228224022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248749704).

228224022 is an abundant number, since it is smaller than the sum of its proper divisors (269275386).

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

228224022 is a wasteful number, since it uses less digits than its factorization.

228224022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 228224022 is about 15107.0851589577. The cubic root of 228224022 is about 611.1114931592. Note that the first 3 decimals are identical.

Adding to 228224022 its reverse (220422822), we get a palindrome (448646844).

The spelling of 228224022 in words is "two hundred twenty-eight million, two hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 169 173 338 346 507 519 1014 1038 1301 2249 2602 3903 4498 6747 7806 13494 16913 29237 33826 50739 58474 87711 101478 175422 219869 225073 439738 450146 659607 675219 1319214 1350438 2925949 5851898 8777847 17555694 38037337 76074674 114112011 228224022