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442206114 = 23719737591
BaseRepresentation
bin11010010110111…
…000011110100010
31010211002101202020
4122112320132202
51401201043424
6111514002310
713646455440
oct3226703642
91124071666
10442206114
11207682aa9
12104116396
13707cb32c
1442a2db90
1528c4e079
hex1a5b87a2

442206114 has 64 divisors (see below), whose sum is σ = 1078671360. Its totient is φ = 118039680.

The previous prime is 442206077. The next prime is 442206169. The reversal of 442206114 is 411602244.

It is a happy number.

It is a Curzon number.

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, 54459 + ... + 62049.

It is an arithmetic number, because the mean of its divisors is an integer number (16854240).

Almost surely, 2442206114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442206114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539335680).

442206114 is an abundant number, since it is smaller than the sum of its proper divisors (636465246).

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

442206114 is a wasteful number, since it uses less digits than its factorization.

442206114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 442206114 is about 21028.6973918976. The cubic root of 442206114 is about 761.8595472768.

Adding to 442206114 its reverse (411602244), we get a palindrome (853808358).

The spelling of 442206114 in words is "four hundred forty-two million, two hundred six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 219 266 399 438 511 798 1022 1387 1533 2774 3066 4161 7591 8322 9709 15182 19418 22773 29127 45546 53137 58254 106274 144229 159411 288458 318822 432687 554143 865374 1009603 1108286 1662429 2019206 3028809 3324858 3879001 6057618 7758002 10528717 11637003 21057434 23274006 31586151 63172302 73701019 147402038 221103057 442206114