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28221440 = 21351353
BaseRepresentation
bin110101110101…
…0000000000000
31222002210112112
41223222000000
524211041230
62444514452
7461610152
oct153520000
958083475
1028221440
1114a26205
12954ba28
135b015a0
143a68ad2
152726d95
hex1aea000

28221440 has 112 divisors (see below), whose sum is σ = 74313288. Its totient is φ = 10223616.

The previous prime is 28221421. The next prime is 28221451. The reversal of 28221440 is 4412282.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 7573504 = 4544^2 + 2752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532454 + ... + 532506.

Almost surely, 228221440 is an apocalyptic number.

28221440 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 28221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156644).

28221440 is an abundant number, since it is smaller than the sum of its proper divisors (46091848).

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

28221440 is an equidigital number, since it uses as much as digits as its factorization.

28221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 28221440 is about 5312.3855281785. The cubic root of 28221440 is about 304.4572988260.

The spelling of 28221440 in words is "twenty-eight million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 128 130 160 208 212 256 260 265 320 416 424 512 520 530 640 689 832 848 1024 1040 1060 1280 1378 1664 1696 2048 2080 2120 2560 2756 3328 3392 3445 4096 4160 4240 5120 5512 6656 6784 6890 8192 8320 8480 10240 11024 13312 13568 13780 16640 16960 20480 22048 26624 27136 27560 33280 33920 40960 44096 53248 54272 55120 66560 67840 88192 106496 108544 110240 133120 135680 176384 217088 220480 266240 271360 352768 434176 440960 532480 542720 705536 881920 1085440 1411072 1763840 2170880 2822144 3527680 5644288 7055360 14110720 28221440