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228361040 = 24537179431
BaseRepresentation
bin11011001110010…
…00001101010000
3120220200221110022
431213020031100
5431430023130
634354323012
75442015425
oct1547101520
9526627408
10228361040
111079a4036
1264589468
133840729b
1422485d4c
15150ac7e5
hexd9c8350

228361040 has 80 divisors (see below), whose sum is σ = 549607680. Its totient is φ = 88174080.

The previous prime is 228361033. The next prime is 228361061. The reversal of 228361040 is 40163822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529625 + ... + 530055.

It is an arithmetic number, because the mean of its divisors is an integer number (6870096).

Almost surely, 2228361040 is an apocalyptic number.

228361040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

228361040 is an abundant number, since it is smaller than the sum of its proper divisors (321246640).

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

228361040 is a wasteful number, since it uses less digits than its factorization.

228361040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 228361040 is about 15111.6193705374. The cubic root of 228361040 is about 611.2337655980.

The spelling of 228361040 in words is "two hundred twenty-eight million, three hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 179 185 296 358 370 431 592 716 740 862 895 1432 1480 1724 1790 2155 2864 2960 3448 3580 4310 6623 6896 7160 8620 13246 14320 15947 17240 26492 31894 33115 34480 52984 63788 66230 77149 79735 105968 127576 132460 154298 159470 255152 264920 308596 318940 385745 529840 617192 637880 771490 1234384 1275760 1542980 2854513 3085960 5709026 6171920 11418052 14272565 22836104 28545130 45672208 57090260 114180520 228361040