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85332204 = 22341032557
BaseRepresentation
bin1010001011000…
…01000011101100
312221120022210000
411011201003230
5133321112304
612244544300
72054211636
oct505410354
9187508700
1085332204
1144193391
12246b2090
13148a9439
14b493a56
157758939
hex51610ec

85332204 has 60 divisors (see below), whose sum is σ = 225329104. Its totient is φ = 28156896.

The previous prime is 85332199. The next prime is 85332223. The reversal of 85332204 is 40223358.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 32094 + ... + 34650.

Almost surely, 285332204 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 85332204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112664552).

85332204 is an abundant number, since it is smaller than the sum of its proper divisors (139996900).

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

85332204 is a wasteful number, since it uses less digits than its factorization.

85332204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 85332204 is about 9237.5431798720. The cubic root of 85332204 is about 440.2550243355.

The spelling of 85332204 in words is "eighty-five million, three hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 412 618 927 1236 1854 2557 2781 3708 5114 5562 7671 8343 10228 11124 15342 16686 23013 30684 33372 46026 69039 92052 138078 207117 263371 276156 414234 526742 790113 828468 1053484 1580226 2370339 3160452 4740678 7111017 9481356 14222034 21333051 28444068 42666102 85332204