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82255160 = 23513317499
BaseRepresentation
bin1001110011100…
…01110100111000
312201202222212102
410321301310320
5132024131120
612055002532
72016104651
oct471616470
9181688772
1082255160
1142481579
1223669448
131406c9c0
14acd2528
15734bd75
hex4e71d38

82255160 has 64 divisors (see below), whose sum is σ = 200340000. Its totient is φ = 30214656.

The previous prime is 82255109. The next prime is 82255171. The reversal of 82255160 is 6155228.

It is a super-2 number, since 2×822551602 = 13531822693251200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164591 + ... + 165089.

Almost surely, 282255160 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 82255160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100170000).

82255160 is an abundant number, since it is smaller than the sum of its proper divisors (118084840).

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

82255160 is a wasteful number, since it uses less digits than its factorization.

82255160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 82255160 is about 9069.4630491557. The cubic root of 82255160 is about 434.8983071396.

The spelling of 82255160 in words is "eighty-two million, two hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 317 499 520 634 998 1268 1585 1996 2495 2536 3170 3992 4121 4990 6340 6487 8242 9980 12680 12974 16484 19960 20605 25948 32435 32968 41210 51896 64870 82420 129740 158183 164840 259480 316366 632732 790915 1265464 1581830 2056379 3163660 4112758 6327320 8225516 10281895 16451032 20563790 41127580 82255160