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28226640 = 24351383109
BaseRepresentation
bin110101110101…
…1010001010000
31222010001200010
41223223101100
524211223030
62444554520
7461631261
oct153532120
958101603
1028226640
1114a2a102
129552a40
135b03a70
143a6a968
1527286b0
hex1aeb450

28226640 has 160 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 6801408.

The previous prime is 28226633. The next prime is 28226641. The reversal of 28226640 is 4662282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28226598 and 28226607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28226641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258906 + ... + 259014.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 228226640 is an apocalyptic number.

28226640 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 28226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

28226640 is an abundant number, since it is smaller than the sum of its proper divisors (68017200).

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

28226640 is a wasteful number, since it uses less digits than its factorization.

28226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28226640 is about 5312.8749279463. The cubic root of 28226640 is about 304.4759971481.

The spelling of 28226640 in words is "twenty-eight million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 83 104 109 120 130 156 166 195 208 218 240 249 260 312 327 332 390 415 436 498 520 545 624 654 664 780 830 872 996 1040 1079 1090 1245 1308 1328 1417 1560 1635 1660 1744 1992 2158 2180 2490 2616 2834 3120 3237 3270 3320 3984 4251 4316 4360 4980 5232 5395 5668 6474 6540 6640 7085 8502 8632 8720 9047 9960 10790 11336 12948 13080 14170 16185 17004 17264 18094 19920 21255 21580 22672 25896 26160 27141 28340 32370 34008 36188 42510 43160 45235 51792 54282 56680 64740 68016 72376 85020 86320 90470 108564 113360 117611 129480 135705 144752 170040 180940 217128 235222 258960 271410 340080 352833 361880 434256 470444 542820 588055 705666 723760 940888 1085640 1176110 1411332 1764165 1881776 2171280 2352220 2822664 3528330 4704440 5645328 7056660 9408880 14113320 28226640