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84338226 = 23371911743
BaseRepresentation
bin1010000011011…
…10011000110010
312212200211022000
411001232120302
5133042310401
612211354430
72042602020
oct501563062
9185624260
1084338226
1143674615
12242b2a16
131461bb9b
14b2b5710
15760e186
hex506e632

84338226 has 64 divisors (see below), whose sum is σ = 225484800. Its totient is φ = 22826448.

The previous prime is 84338213. The next prime is 84338249. The reversal of 84338226 is 62283348.

It is a super-2 number, since 2×843382262 = 14225872729654152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311 + ... + 13053.

It is an arithmetic number, because the mean of its divisors is an integer number (3523200).

Almost surely, 284338226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84338226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742400).

84338226 is an abundant number, since it is smaller than the sum of its proper divisors (141146574).

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

84338226 is a wasteful number, since it uses less digits than its factorization.

84338226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780 (or 11774 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 84338226 is about 9183.5845942638. The cubic root of 84338226 is about 438.5389312779.

The spelling of 84338226 in words is "eighty-four million, three hundred thirty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 11743 23486 35229 70458 82201 105687 164402 211374 223117 246603 317061 446234 493206 634122 669351 739809 1338702 1479618 1561819 2008053 2219427 3123638 4016106 4438854 4685457 6024159 9370914 12048318 14056371 28112742 42169113 84338226