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235224115120 = 245231277100109
BaseRepresentation
bin1101101100010001110…
…0110010011110110000
3211111011011200010120201
43123010130302132300
512323214333140440
6300021021044544
722665033663121
oct3330434623660
9744134603521
10235224115120
1190837976245
12397080b6754
1319248ac1647
14b55628a048
1561baa2419a
hex36c47327b0

235224115120 has 80 divisors (see below), whose sum is σ = 571126749120. Its totient is φ = 89927416832.

The previous prime is 235224115109. The next prime is 235224115151. The reversal of 235224115120 is 21511422532.

It is a happy number.

235224115120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2352241151202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2299626 + ... + 2399734.

It is an arithmetic number, because the mean of its divisors is an integer number (7139084364).

Almost surely, 2235224115120 is an apocalyptic number.

235224115120 is a gapful number since it is divisible by the number (20) 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 235224115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285563374560).

235224115120 is an abundant number, since it is smaller than the sum of its proper divisors (335902634000).

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

235224115120 is a wasteful number, since it uses less digits than its factorization.

235224115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101422 (or 101416 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 235224115120 its reverse (21511422532), we get a palindrome (256735537652).

The spelling of 235224115120 in words is "two hundred thirty-five billion, two hundred twenty-four million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1277 1840 2554 5108 6385 10216 12770 20432 25540 29371 51080 58742 100109 102160 117484 146855 200218 234968 293710 400436 469936 500545 587420 800872 1001090 1174840 1601744 2002180 2302507 2349680 4004360 4605014 8008720 9210028 11512535 18420056 23025070 36840112 46050140 92100280 127839193 184200560 255678386 511356772 639195965 1022713544 1278391930 2045427088 2556783860 2940301439 5113567720 5880602878 10227135440 11761205756 14701507195 23522411512 29403014390 47044823024 58806028780 117612057560 235224115120