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85223440 = 2451676379
BaseRepresentation
bin1010001010001…
…10100000010000
312221100210120201
411011012200100
5133304122230
612242344544
72053246561
oct505064020
9187323521
1085223440
11441196a5
122465b154
131486ba93
14b466168
1577365ca
hex5146810

85223440 has 40 divisors (see below), whose sum is σ = 199362240. Its totient is φ = 33879936.

The previous prime is 85223429. The next prime is 85223447. The reversal of 85223440 is 4432258.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 85223399 and 85223408.

It is not an unprimeable number, because it can be changed into a prime (85223447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10171 + ... + 16549.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 285223440 is an apocalyptic number.

85223440 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 85223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99681120).

85223440 is an abundant number, since it is smaller than the sum of its proper divisors (114138800).

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

85223440 is a wasteful number, since it uses less digits than its factorization.

85223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 85223440 is about 9231.6542396257. The cubic root of 85223440 is about 440.0678958586.

Adding to 85223440 its reverse (4432258), we get a palindrome (89655698).

The spelling of 85223440 in words is "eighty-five million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6379 6680 12758 13360 25516 31895 51032 63790 102064 127580 255160 510320 1065293 2130586 4261172 5326465 8522344 10652930 17044688 21305860 42611720 85223440