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84144228 = 22376714951
BaseRepresentation
bin1010000001111…
…11000001100100
312212022222011220
411000333001210
5133020103403
612203300340
72041133310
oct500770144
9185288156
1084144228
1143551893
122421a6b0
13145817ac
14b264b40
1575c1953
hex503f064

84144228 has 48 divisors (see below), whose sum is σ = 227748864. Its totient is φ = 23680800.

The previous prime is 84144209. The next prime is 84144233. The reversal of 84144228 is 82244148.

It is a super-2 number, since 2×841442282 = 14160502211431968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (4744768).

Almost surely, 284144228 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 84144228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113874432).

84144228 is an abundant number, since it is smaller than the sum of its proper divisors (143604636).

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

84144228 is a wasteful number, since it uses less digits than its factorization.

84144228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15032 (or 15030 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 84144228 is about 9173.0162978161. The cubic root of 84144228 is about 438.2024251463.

The spelling of 84144228 in words is "eighty-four million, one hundred forty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 14951 29902 44853 59804 89706 104657 179412 209314 313971 418628 627942 1001717 1255884 2003434 3005151 4006868 6010302 7012019 12020604 14024038 21036057 28048076 42072114 84144228