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28229400 = 23325215683
BaseRepresentation
bin110101110101…
…1111100011000
31222010012110100
41223223330120
524211320100
62445015400
7461642313
oct153537430
958105410
1028229400
1114a31191
129554560
135b050b4
143a6b97a
152729400
hex1aebf18

28229400 has 72 divisors (see below), whose sum is σ = 94809780. Its totient is φ = 7527360.

The previous prime is 28229393. The next prime is 28229407. The reversal of 28229400 is 492282.

It is an interprime number because it is at equal distance from previous prime (28229393) and next prime (28229407).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28229407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6042 + ... + 9641.

Almost surely, 228229400 is an apocalyptic number.

28229400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28229400 is an abundant number, since it is smaller than the sum of its proper divisors (66580380).

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

28229400 is a wasteful number, since it uses less digits than its factorization.

28229400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15705 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28229400 is about 5313.1346679714. The cubic root of 28229400 is about 304.4859207092.

The spelling of 28229400 in words is "twenty-eight million, two hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 15683 31366 47049 62732 78415 94098 125464 141147 156830 188196 235245 282294 313660 376392 392075 470490 564588 627320 705735 784150 940980 1129176 1176225 1411470 1568300 1881960 2352450 2822940 3136600 3528675 4704900 5645880 7057350 9409800 14114700 28229400