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85222536 = 2337736949
BaseRepresentation
bin1010001010001…
…10010010001000
312221100202100020
411011012102020
5133304110121
612242340440
72053244130
oct505062210
9187322306
1085222536
1144118a53
122465a720
131486b549
14b465ac0
1577361c6
hex5146488

85222536 has 64 divisors (see below), whose sum is σ = 246864000. Its totient is φ = 24012288.

The previous prime is 85222531. The next prime is 85222537. The reversal of 85222536 is 63522258.

It is a junction number, because it is equal to n+sod(n) for n = 85222497 and 85222506.

It is not an unprimeable number, because it can be changed into a prime (85222531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8790 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (3857250).

Almost surely, 285222536 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 85222536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123432000).

85222536 is an abundant number, since it is smaller than the sum of its proper divisors (161641464).

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

85222536 is a wasteful number, since it uses less digits than its factorization.

85222536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7034 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 85222536 is about 9231.6052775235. The cubic root of 85222536 is about 440.0663398595.

It can be divided in two parts, 85222 and 536, that added together give a palindrome (85758).

The spelling of 85222536 in words is "eighty-five million, two hundred twenty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 6949 12264 13898 20847 27796 41694 48643 55592 83388 97286 145929 166776 194572 291858 389144 507277 583716 1014554 1167432 1521831 2029108 3043662 3550939 4058216 6087324 7101878 10652817 12174648 14203756 21305634 28407512 42611268 85222536