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80228256 = 2531575323
BaseRepresentation
bin1001100100000…
…10111110100000
312120222000110220
410302002332200
5131014301011
611543323040
71662633423
oct462027640
9176860426
1080228256
1141317749
1222a50480
1313810254
14a9259ba
15709b506
hex4c82fa0

80228256 has 48 divisors (see below), whose sum is σ = 211980384. Its totient is φ = 26567424.

The previous prime is 80228227. The next prime is 80228257. The reversal of 80228256 is 65282208.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (80228257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12411 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (4416258).

Almost surely, 280228256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80228256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105990192).

80228256 is an abundant number, since it is smaller than the sum of its proper divisors (131752128).

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

80228256 is a wasteful number, since it uses less digits than its factorization.

80228256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 80228256 is about 8957.0227196318. The cubic root of 80228256 is about 431.2963510776.

The spelling of 80228256 in words is "eighty million, two hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 5323 7536 10646 15072 15969 21292 31938 42584 63876 85168 127752 170336 255504 511008 835711 1671422 2507133 3342844 5014266 6685688 10028532 13371376 20057064 26742752 40114128 80228256