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228996252 = 223253257467
BaseRepresentation
bin11011010011000…
…11010010011100
3120221220012210200
431221203102130
5432110340002
634420103500
75450302362
oct1551432234
9527805720
10228996252
11108298301
1264834b90
133859a454
14225ad632
1515185b1c
hexda6349c

228996252 has 72 divisors (see below), whose sum is σ = 593336016. Its totient is φ = 74440704.

The previous prime is 228996233. The next prime is 228996259. The reversal of 228996252 is 252699822.

228996252 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 = 228996198 and 228996207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228996259) 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, 490123 + ... + 490589.

It is an arithmetic number, because the mean of its divisors is an integer number (8240778).

Almost surely, 2228996252 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 228996252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296668008).

228996252 is an abundant number, since it is smaller than the sum of its proper divisors (364339764).

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

228996252 is a wasteful number, since it uses less digits than its factorization.

228996252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 782 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 228996252 is about 15132.6221125091. The cubic root of 228996252 is about 611.7999794888.

The spelling of 228996252 in words is "two hundred twenty-eight million, nine hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 257 318 467 477 514 636 771 934 954 1028 1401 1542 1868 1908 2313 2802 3084 4203 4626 5604 8406 9252 13621 16812 24751 27242 40863 49502 54484 74253 81726 99004 120019 122589 148506 163452 222759 240038 245178 297012 360057 445518 480076 490356 720114 891036 1080171 1440228 2160342 4320684 6361007 12722014 19083021 25444028 38166042 57249063 76332084 114498126 228996252