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82220676 = 223192315679
BaseRepresentation
bin1001110011010…
…01011010000100
312201201020120020
410321221122010
5132022030201
612054135140
72015602266
oct471513204
9181636506
1082220676
114245867a
12236514b0
131405a0b5
14acc3b36
157341a36
hex4e69684

82220676 has 48 divisors (see below), whose sum is σ = 210739200. Its totient is φ = 24833952.

The previous prime is 82220659. The next prime is 82220681. The reversal of 82220676 is 67602228.

It is a super-3 number, since 3×822206763 (a number of 25 digits) contains 333 as substring.

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, 2596 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (4390400).

Almost surely, 282220676 is an apocalyptic number.

It is an amenable number.

82220676 is an abundant number, since it is smaller than the sum of its proper divisors (128518524).

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

82220676 is a wasteful number, since it uses less digits than its factorization.

82220676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15728 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 82220676 is about 9067.5617450338. The cubic root of 82220676 is about 434.8375242073.

The spelling of 82220676 in words is "eighty-two million, two hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 15679 31358 47037 62716 94074 188148 297901 360617 595802 721234 893703 1081851 1191604 1442468 1787406 2163702 3574812 4327404 6851723 13703446 20555169 27406892 41110338 82220676