Search a number
-
+
234222101222432 = 2543197864058631
BaseRepresentation
bin110101010000011000010101…
…001001000101010000100000
31010201022102011221122122000212
4311100120111021011100200
5221144443330403104212
62150052051534433252
7100222663005166031
oct6520302511052040
91121272157578025
10234222101222432
11686a3042a89754
122232998b962828
13a090084618a1b
1441ba5a57a0a88
151c129c371ce22
hexd50615245420

234222101222432 has 48 divisors (see below), whose sum is σ = 474243764524992. Its totient is φ = 113806890274560.

The previous prime is 234222101222429. The next prime is 234222101222477.

234222101222432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431758244 + ... + 432300387.

It is an arithmetic number, because the mean of its divisors is an integer number (9880078427604).

Almost surely, 2234222101222432 is an apocalyptic number.

It is an amenable number.

234222101222432 is an abundant number, since it is smaller than the sum of its proper divisors (240021663302560).

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

234222101222432 is a wasteful number, since it uses less digits than its factorization.

234222101222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864058881 (or 864058873 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 23422210 and 1222432, that added together give a palindrome (24644642).

The spelling of 234222101222432 in words is "two hundred thirty-four trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 197 344 394 688 788 1376 1576 3152 6304 8471 16942 33884 67768 135536 271072 864058631 1728117262 3456234524 6912469048 13824938096 27649876192 37154521133 74309042266 148618084532 170219550307 297236169064 340439100614 594472338128 680878201228 1188944676256 1361756402456 2723512804912 5447025609824 7319440663201 14638881326402 29277762652804 58555525305608 117111050611216 234222101222432