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234223222322432 = 287565123129521
BaseRepresentation
bin110101010000011001010111…
…111101101111010100000000
31010201022112002002012102010002
4311100121113331233110000
5221200003124403304212
62150052355103455132
7100223032540322120
oct6520312775572400
91121275062172102
10234223222322432
11686a35688a5782
122232a0432b74a8
13a0902029766c5
1441ba670632c80
151c12a3bd70ac2
hexd50657f6f500

234223222322432 has 72 divisors (see below), whose sum is σ = 534416302510272. Its totient is φ = 100363613184000.

The previous prime is 234223222322377. The next prime is 234223222322459.

234223222322432 is nontrivially palindromic in base 10.

234223222322432 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 7 ways as a sum of consecutive naturals, for example, 1438169 + ... + 21691352.

It is an arithmetic number, because the mean of its divisors is an integer number (7422448645976).

Almost surely, 2234223222322432 is an apocalyptic number.

It is an amenable number.

234223222322432 is an abundant number, since it is smaller than the sum of its proper divisors (300193080187840).

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

234223222322432 is an equidigital number, since it uses as much as digits as its factorization.

234223222322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23135195 (or 23135181 counting only the distinct ones).

The product of its digits is 663552, while the sum is 38.

The spelling of 234223222322432 in words is "two hundred thirty-four trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 5651 11302 22604 39557 45208 79114 90416 158228 180832 316456 361664 632912 723328 1265824 1446656 2531648 5063296 10126592 23129521 46259042 92518084 161906647 185036168 323813294 370072336 647626588 740144672 1295253176 1480289344 2590506352 2960578688 5181012704 5921157376 10362025408 20724050816 41448101632 130704923171 261409846342 522819692684 914934462197 1045639385368 1829868924394 2091278770736 3659737848788 4182557541472 7319475697576 8365115082944 14638951395152 16730230165888 29277902790304 33460460331776 58555805580608 117111611161216 234223222322432