Search a number
-
+
2235743122704 = 2437133697138449
BaseRepresentation
bin100000100010001100101…
…011001011010100010000
321220201211210010022002220
4200202030223023110100
5243112300214411304
64431030342141040
7320345540661630
oct40421453132420
97821753108086
102235743122704
1179219a786113
12301375a21780
13132aa2a345a0
147a2d3a3c6c0
153d254371ad9
hex2088cacb510

2235743122704 has 160 divisors (see below), whose sum is σ = 7110490732800. Its totient is φ = 589482786816.

The previous prime is 2235743122699. The next prime is 2235743122727. The reversal of 2235743122704 is 4072213475322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16079272 + ... + 16217720.

It is an arithmetic number, because the mean of its divisors is an integer number (44440567080).

Almost surely, 22235743122704 is an apocalyptic number.

2235743122704 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 2235743122704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555245366400).

2235743122704 is an abundant number, since it is smaller than the sum of its proper divisors (4874747610096).

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

2235743122704 is a wasteful number, since it uses less digits than its factorization.

2235743122704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142177 (or 142171 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 2235743122704 in words is "two trillion, two hundred thirty-five billion, seven hundred forty-three million, one hundred twenty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 3697 4368 7394 11091 14788 22182 25879 29576 44364 48061 51758 59152 77637 88728 96122 103516 138449 144183 155274 177456 192244 207032 276898 288366 310548 336427 384488 414064 415347 553796 576732 621096 672854 768976 830694 969143 1009281 1107592 1153464 1242192 1345708 1661388 1799837 1938286 2018562 2215184 2306928 2691416 2907429 3322776 3599674 3876572 4037124 5382832 5399511 5814858 6645552 7199348 7753144 8074248 10799022 11629716 12598859 14398696 15506288 16148496 21598044 23259432 25197718 28797392 37796577 43196088 46518864 50395436 75593154 86392176 100790872 151186308 201581744 302372616 511845953 604745232 1023691906 1535537859 2047383812 3071075718 3582921671 4094767624 6142151436 6653997389 7165843342 8189535248 10748765013 12284302872 13307994778 14331686684 19961992167 21497530026 24568605744 26615989556 28663373368 39923984334 42995060052 46577981723 53231979112 57326746736 79847968668 85990120104 93155963446 106463958224 139733945169 159695937336 171980240208 186311926892 279467890338 319391874672 372623853784 558935780676 745247707568 1117871561352 2235743122704