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85620228 = 22317537919
BaseRepresentation
bin1010001101001…
…11011000000100
312222002221212120
411012213120010
5133404321403
612255045540
72056521441
oct506473004
9188087776
1085620228
114436a821
12248108b0
131497a575
14b52a9c8
1577b3e53
hex51a7604

85620228 has 48 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 26351104.

The previous prime is 85620203. The next prime is 85620253. The reversal of 85620228 is 82202658.

It is an interprime number because it is at equal distance from previous prime (85620203) and next prime (85620253).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6853 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 285620228 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 85620228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

85620228 is an abundant number, since it is smaller than the sum of its proper divisors (129930492).

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

85620228 is a wasteful number, since it uses less digits than its factorization.

85620228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7994 counting only the distinct ones).

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

The square root of 85620228 is about 9253.1199062803. The cubic root of 85620228 is about 440.7498028045.

The spelling of 85620228 in words is "eighty-five million, six hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 5406 7919 10812 15838 23757 31676 47514 95028 134623 269246 403869 419707 538492 807738 839414 1259121 1615476 1678828 2518242 5036484 7135019 14270038 21405057 28540076 42810114 85620228