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85226940 = 22325292563
BaseRepresentation
bin1010001010001…
…11010110111100
312221100222101100
411011013112330
5133304230230
612242413100
72053263021
oct505072674
9187328340
1085226940
1144121297
1224661190
1314870556
14b467548
157737660
hex51475bc

85226940 has 108 divisors (see below), whose sum is σ = 268219224. Its totient is φ = 21904512.

The previous prime is 85226929. The next prime is 85227007. The reversal of 85226940 is 4962258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85226895 and 85226904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151099 + ... + 151661.

Almost surely, 285226940 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 85226940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134109612).

85226940 is an abundant number, since it is smaller than the sum of its proper divisors (182992284).

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

85226940 is a wasteful number, since it uses less digits than its factorization.

85226940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85226940 is about 9231.8438028381. The cubic root of 85226940 is about 440.0739200876.

The spelling of 85226940 in words is "eighty-five million, two hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 563 580 841 870 1044 1126 1305 1682 1689 1740 2252 2523 2610 2815 3364 3378 4205 5046 5067 5220 5630 6756 7569 8410 8445 10092 10134 11260 12615 15138 16327 16820 16890 20268 25230 25335 30276 32654 33780 37845 48981 50460 50670 65308 75690 81635 97962 101340 146943 151380 163270 195924 244905 293886 326540 473483 489810 587772 734715 946966 979620 1420449 1469430 1893932 2367415 2840898 2938860 4261347 4734830 5681796 7102245 8522694 9469660 14204490 17045388 21306735 28408980 42613470 85226940