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234022220432 = 2471113109134053
BaseRepresentation
bin1101100111110011001…
…1111011001010010000
3211101001102002120000122
43121330303323022100
512313234142023212
6255301444205412
722623201024020
oct3317463731220
9741042076018
10234022220432
1190280495a50
1239431699868
13190b6ab5960
14b4807c5a80
15614a262272
hex367ccfb290

234022220432 has 160 divisors (see below), whose sum is σ = 614374844160. Its totient is φ = 83391068160.

The previous prime is 234022220401. The next prime is 234022220447.

234022220432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1678718 + ... + 1812770.

It is an arithmetic number, because the mean of its divisors is an integer number (3839842776).

Almost surely, 2234022220432 is an apocalyptic number.

234022220432 is a gapful number since it is divisible by the number (22) 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 234022220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307187422080).

234022220432 is an abundant number, since it is smaller than the sum of its proper divisors (380352623728).

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

234022220432 is a wasteful number, since it uses less digits than its factorization.

234022220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134201 (or 134195 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 234022 and 220432, that added together give a palindrome (454454).

The spelling of 234022220432 in words is "two hundred thirty-four billion, twenty-two million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 109 112 143 154 176 182 208 218 286 308 364 436 572 616 728 763 872 1001 1144 1199 1232 1417 1456 1526 1744 2002 2288 2398 2834 3052 4004 4796 5668 6104 8008 8393 9592 9919 11336 12208 15587 16016 16786 19184 19838 22672 31174 33572 39676 62348 67144 79352 109109 124696 134053 134288 158704 218218 249392 268106 436436 536212 872872 938371 1072424 1474583 1742689 1745744 1876742 2144848 2949166 3485378 3753484 5898332 6970756 7506968 10322081 11796664 12198823 13941512 14611777 15013936 19169579 20644162 23593328 24397646 27883024 29223554 38339158 41288324 48795292 58447108 76678316 82576648 97590584 102282439 116894216 134187053 153356632 160729547 165153296 189953101 195181168 204564878 233788432 268374106 306713264 321459094 379906202 409129756 536748212 642918188 759812404 818259512 1073496424 1125106829 1285836376 1329671707 1519624808 1636519024 2089484111 2146992848 2250213658 2571672752 2659343414 3039249616 4178968222 4500427316 5318686828 8357936444 9000854632 10637373656 14626388777 16715872888 18001709264 21274747312 29252777554 33431745776 58505555108 117011110216 234022220432