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2239185745104 = 2437113011201209
BaseRepresentation
bin100000100101011001110…
…111101111010011010000
321221001201201000122020020
4200211121313233103100
5243141323022320404
64432400121343440
7320530052535630
oct40453167572320
97831651018206
102239185745104
117936a6a832a0
12301b76937b80
13133201031769
147a53cd426c0
153d3a66e7ed9
hex20959def4d0

2239185745104 has 160 divisors (see below), whose sum is σ = 7214353966080. Its totient is φ = 581410636800.

The previous prime is 2239185745039. The next prime is 2239185745123. The reversal of 2239185745104 is 4015475819322.

2239185745104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 11028052 + ... + 11229260.

It is an arithmetic number, because the mean of its divisors is an integer number (45089712288).

Almost surely, 22239185745104 is an apocalyptic number.

2239185745104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2239185745104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607176983040).

2239185745104 is an abundant number, since it is smaller than the sum of its proper divisors (4975168220976).

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

2239185745104 is a wasteful number, since it uses less digits than its factorization.

2239185745104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204249 (or 204243 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 2239185745104 in words is "two trillion, two hundred thirty-nine billion, one hundred eighty-five million, seven hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3011 3696 6022 9033 12044 18066 21077 24088 33121 36132 42154 48176 63231 66242 72264 84308 99363 126462 132484 144528 168616 198726 201209 231847 252924 264968 337232 397452 402418 463694 505848 529936 603627 695541 794904 804836 927388 1011696 1207254 1391082 1408463 1589808 1609672 1854776 2213299 2414508 2782164 2816926 3219344 3709552 4225389 4426598 4829016 5564328 5633852 6639897 8450778 8853196 9658032 11128656 11267704 13279794 15493093 16901556 17706392 22535408 26559588 30986186 33803112 35412784 46479279 53119176 61972372 67606224 92958558 106238352 123944744 185917116 247889488 371834232 605840299 743668464 1211680598 1817520897 2423361196 3635041794 4240882093 4846722392 6664243289 7270083588 8481764186 9693444784 12722646279 13328486578 14540167176 16963528372 19992729867 25445292558 26656973156 29080334352 33927056744 39985459734 46649703023 50890585116 53313946312 67854113488 79970919468 93299406046 101781170232 106627892624 139949109069 159941838936 186598812092 203562340464 279898218138 319883677872 373197624184 559796436276 746395248368 1119592872552 2239185745104