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85223340 = 22345311697
BaseRepresentation
bin1010001010001…
…10011110101100
312221100210110000
411011012132230
5133304121330
612242344300
72053246356
oct505063654
9187323400
1085223340
1144119614
122465b090
131486ba17
14b4660d6
157736560
hex51467ac

85223340 has 120 divisors (see below), whose sum is σ = 276135552. Its totient is φ = 21980160.

The previous prime is 85223293. The next prime is 85223387. The reversal of 85223340 is 4332258.

It is an interprime number because it is at equal distance from previous prime (85223293) and next prime (85223387).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49372 + ... + 51068.

Almost surely, 285223340 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 85223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138067776).

85223340 is an abundant number, since it is smaller than the sum of its proper divisors (190912212).

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

85223340 is a wasteful number, since it uses less digits than its factorization.

85223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

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

The square root of 85223340 is about 9231.6488234768. The cubic root of 85223340 is about 440.0677237354.

Adding to 85223340 its reverse (4332258), we get a palindrome (89555598).

The spelling of 85223340 in words is "eighty-five million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1697 1860 2511 2790 3348 3394 4185 5022 5091 5580 6788 8370 8485 10044 10182 12555 15273 16740 16970 20364 25110 25455 30546 33940 45819 50220 50910 52607 61092 76365 91638 101820 105214 137457 152730 157821 183276 210428 229095 263035 274914 305460 315642 458190 473463 526070 549828 631284 687285 789105 916380 946926 1052140 1374570 1420389 1578210 1893852 2367315 2749140 2840778 3156420 4261167 4734630 5681556 7101945 8522334 9469260 14203890 17044668 21305835 28407780 42611670 85223340