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80230400 = 211521567
BaseRepresentation
bin1001100100000…
…11100000000000
312120222010102022
410302003200000
5131014333100
611543341012
71662642605
oct462034000
9176863368
1080230400
1141319318
1222a51768
1313811213
14a9266ac
15709be85
hex4c83800

80230400 has 72 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 32071680.

The previous prime is 80230357. The next prime is 80230411. The reversal of 80230400 is 403208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50417 + ... + 51983.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 280230400 is an apocalyptic number.

80230400 is a gapful number since it is divisible by the number (80) 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 80230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

80230400 is an abundant number, since it is smaller than the sum of its proper divisors (118819360).

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

80230400 is a wasteful number, since it uses less digits than its factorization.

80230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 80230400 is about 8957.1424014582. The cubic root of 80230400 is about 431.3001929956.

Adding to 80230400 its reverse (403208), we get a palindrome (80633608).

The spelling of 80230400 in words is "eighty million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1567 1600 2048 2560 3134 3200 5120 6268 6400 7835 10240 12536 12800 15670 25072 25600 31340 39175 50144 51200 62680 78350 100288 125360 156700 200576 250720 313400 401152 501440 626800 802304 1002880 1253600 1604608 2005760 2507200 3209216 4011520 5014400 8023040 10028800 16046080 20057600 40115200 80230400