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83218104 = 2334167769
BaseRepresentation
bin1001111010111…
…00111010111000
312210120220210000
410331130322320
5132300434404
612131353000
72030225244
oct475347270
9183526700
1083218104
1142a79aa2
1223a52760
13143190a8
14b0a3424
15748c339
hex4f5ceb8

83218104 has 80 divisors (see below), whose sum is σ = 234788400. Its totient is φ = 27537408.

The previous prime is 83218103. The next prime is 83218123. The reversal of 83218104 is 40181238.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83218103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107832 + ... + 108600.

It is an arithmetic number, because the mean of its divisors is an integer number (2934855).

Almost surely, 283218104 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 83218104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117394200).

83218104 is an abundant number, since it is smaller than the sum of its proper divisors (151570296).

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

83218104 is a wasteful number, since it uses less digits than its factorization.

83218104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83218104 is about 9122.3957379627. The cubic root of 83218104 is about 436.5888153139.

The spelling of 83218104 in words is "eighty-three million, two hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 648 668 769 1002 1336 1503 1538 2004 2307 3006 3076 4008 4509 4614 6012 6152 6921 9018 9228 12024 13527 13842 18036 18456 20763 27054 27684 36072 41526 54108 55368 62289 83052 108216 124578 128423 166104 249156 256846 385269 498312 513692 770538 1027384 1155807 1541076 2311614 3082152 3467421 4623228 6934842 9246456 10402263 13869684 20804526 27739368 41609052 83218104