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228374464 = 2617792657
BaseRepresentation
bin11011001110010…
…11011111000000
3120220201121212111
431213023133000
5431430440324
634354505104
75442102523
oct1547133700
9526647774
10228374464
11107a0312a
1264595194
1338410426
142248abba
15150b1794
hexd9cb7c0

228374464 has 56 divisors (see below), whose sum is σ = 486095040. Its totient is φ = 106070016.

The previous prime is 228374407. The next prime is 228374467. The reversal of 228374464 is 464473822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228374467) 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, 84624 + ... + 87280.

Almost surely, 2228374464 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 228374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243047520).

228374464 is an abundant number, since it is smaller than the sum of its proper divisors (257720576).

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

228374464 is a wasteful number, since it uses less digits than its factorization.

228374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2755 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 228374464 is about 15112.0635255414. The cubic root of 228374464 is about 611.2457423072.

The spelling of 228374464 in words is "two hundred twenty-eight million, three hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 136 158 272 316 544 632 1088 1264 1343 2528 2657 2686 5056 5314 5372 10628 10744 21256 21488 42512 42976 45169 85024 85952 90338 170048 180676 209903 361352 419806 722704 839612 1445408 1679224 2890816 3358448 3568351 6716896 7136702 13433792 14273404 28546808 57093616 114187232 228374464