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85203228 = 223112932203
BaseRepresentation
bin1010001010000…
…01100100011100
312221022202212010
411011001210130
5133303000403
612242111220
72053133625
oct505014434
9187282763
1085203228
11441054a0
122464b510
1314862816
14b45ca4c
157730603
hex514191c

85203228 has 48 divisors (see below), whose sum is σ = 217719936. Its totient is φ = 25719360.

The previous prime is 85203211. The next prime is 85203259. The reversal of 85203228 is 82230258.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85203195 and 85203204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37575 + ... + 39777.

It is an arithmetic number, because the mean of its divisors is an integer number (4535832).

Almost surely, 285203228 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 85203228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108859968).

85203228 is an abundant number, since it is smaller than the sum of its proper divisors (132516708).

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

85203228 is a wasteful number, since it uses less digits than its factorization.

85203228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85203228 is about 9230.5594630011. The cubic root of 85203228 is about 440.0331035700.

The spelling of 85203228 in words is "eighty-five million, two hundred three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 1172 1758 2203 3223 3516 4406 6446 6609 8812 9669 12892 13218 19338 24233 26436 38676 48466 72699 96932 145398 290796 645479 1290958 1936437 2581916 3872874 7100269 7745748 14200538 21300807 28401076 42601614 85203228