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228099840 = 2835191311
BaseRepresentation
bin11011001100010…
…00011100000000
3120220012200011020
431212020130000
5431343143330
634344545440
75436550053
oct1546103400
9526180136
10228099840
11107835871
1264482280
1338345427
1422418a9a
151505a210
hexd988700

228099840 has 144 divisors (see below), whose sum is σ = 734662656. Its totient is φ = 60313600.

The previous prime is 228099827. The next prime is 228099847. The reversal of 228099840 is 48990822.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 228099792 and 228099801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228099847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733285 + ... + 733595.

It is an arithmetic number, because the mean of its divisors is an integer number (5101824).

Almost surely, 2228099840 is an apocalyptic number.

228099840 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 228099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367331328).

228099840 is an abundant number, since it is smaller than the sum of its proper divisors (506562816).

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

228099840 is a wasteful number, since it uses less digits than its factorization.

228099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 228099840 is about 15102.9745414604. The cubic root of 228099840 is about 611.0006330560. Note that the first 3 decimals are identical.

The spelling of 228099840 in words is "two hundred twenty-eight million, ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 256 311 320 382 384 480 573 622 640 764 768 933 955 960 1146 1244 1280 1528 1555 1866 1910 1920 2292 2488 2865 3056 3110 3732 3820 3840 4584 4665 4976 5730 6112 6220 7464 7640 9168 9330 9952 11460 12224 12440 14928 15280 18336 18660 19904 22920 24448 24880 29856 30560 36672 37320 39808 45840 48896 49760 59401 59712 61120 73344 74640 79616 91680 99520 118802 119424 122240 146688 149280 178203 183360 199040 237604 238848 244480 297005 298560 356406 366720 398080 475208 594010 597120 712812 733440 891015 950416 1188020 1194240 1425624 1782030 1900832 2376040 2851248 3564060 3801664 4752080 5702496 7128120 7603328 9504160 11404992 14256240 15206656 19008320 22809984 28512480 38016640 45619968 57024960 76033280 114049920 228099840