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83226060 = 22325672103
BaseRepresentation
bin1001111010111…
…10110111001100
312210121022200200
410331132313030
5132301213220
612131453500
72030260401
oct475366714
9183538620
1083226060
1142a84a75
1223a57290
131431c8b8
14b0a62a8
15748e890
hex4f5edcc

83226060 has 108 divisors (see below), whose sum is σ = 258764688. Its totient is φ = 21650112.

The previous prime is 83226047. The next prime is 83226071. The reversal of 83226060 is 6062238.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 807969 + ... + 808071.

Almost surely, 283226060 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 83226060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129382344).

83226060 is an abundant number, since it is smaller than the sum of its proper divisors (175538628).

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

83226060 is a wasteful number, since it uses less digits than its factorization.

83226060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83226060 is about 9122.8317971998. The cubic root of 83226060 is about 436.6027281115.

Adding to 83226060 its reverse (6062238), we get a palindrome (89288298).

The spelling of 83226060 in words is "eighty-three million, two hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 103 134 180 201 206 268 309 335 402 412 515 603 618 670 804 927 1005 1030 1206 1236 1340 1545 1854 2010 2060 2412 3015 3090 3708 4020 4489 4635 6030 6180 6901 8978 9270 12060 13467 13802 17956 18540 20703 22445 26934 27604 34505 40401 41406 44890 53868 62109 67335 69010 80802 82812 89780 103515 124218 134670 138020 161604 202005 207030 248436 269340 310545 404010 414060 462367 621090 808020 924734 1242180 1387101 1849468 2311835 2774202 4161303 4623670 5548404 6935505 8322606 9247340 13871010 16645212 20806515 27742020 41613030 83226060