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84230208 = 2632257569
BaseRepresentation
bin1010000010101…
…00000001000000
312212111100010100
411001110001000
5133030331313
612205202400
72041642056
oct501240100
9185440110
1084230208
1143600447
1224260400
13145b197a
14b2881d6
1575dc173
hex5054040

84230208 has 84 divisors (see below), whose sum is σ = 242796060. Its totient is φ = 27918336.

The previous prime is 84230183. The next prime is 84230213. The reversal of 84230208 is 80203248.

It can be written as a sum of positive squares in 2 ways, for example, as 54287424 + 29942784 = 7368^2 + 5472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147748 + ... + 148316.

Almost surely, 284230208 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 84230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121398030).

84230208 is an abundant number, since it is smaller than the sum of its proper divisors (158565852).

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

84230208 is a wasteful number, since it uses less digits than its factorization.

84230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84230208 is about 9177.7016730770. The cubic root of 84230208 is about 438.3516285629.

The spelling of 84230208 in words is "eighty-four million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 257 288 514 569 576 771 1028 1138 1542 1707 2056 2276 2313 3084 3414 4112 4552 4626 5121 6168 6828 8224 9104 9252 10242 12336 13656 16448 18208 18504 20484 24672 27312 36416 37008 40968 49344 54624 74016 81936 109248 146233 148032 163872 292466 327744 438699 584932 877398 1169864 1316097 1754796 2339728 2632194 3509592 4679456 5264388 7019184 9358912 10528776 14038368 21057552 28076736 42115104 84230208