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232022323220232 = 233412711483586711
BaseRepresentation
bin110100110000010111101000…
…001001111100111100001000
31010102112010011122020202022010
4310300113220021330330020
5220402423204221021412
62141245330033455520
766605026315530606
oct6460275011747410
91112463148222263
10232022323220232
1167a25129714a26
12220335927115a0
139c607c3a5233c
144141d244da876
151bc5676a1d33c
hexd305e827cf08

232022323220232 has 128 divisors (see below), whose sum is σ = 596799315947520. Its totient is φ = 75125164608000.

The previous prime is 232022323220197. The next prime is 232022323220249.

232022323220232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232022323220232.

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, 395169357 + ... + 395756067.

It is an arithmetic number, because the mean of its divisors is an integer number (4662494655840).

Almost surely, 2232022323220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232022323220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298399657973760).

232022323220232 is an abundant number, since it is smaller than the sum of its proper divisors (364776992727288).

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

232022323220232 is a wasteful number, since it uses less digits than its factorization.

232022323220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588515 (or 588511 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The spelling of 232022323220232 in words is "two hundred thirty-two trillion, twenty-two billion, three hundred twenty-three million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1483 1626 2168 2966 3252 4449 5932 6504 8898 11111 11864 17796 22222 33333 35592 44444 60803 66666 88888 121606 133332 182409 243212 266664 364818 401893 486424 586711 729636 803786 1173422 1205679 1459272 1607572 1760133 2346844 2411358 3215144 3520266 4693688 4822716 7040532 9645432 14081064 16477613 24055151 32955226 48110302 49432839 65910452 72165453 96220604 98865678 131820904 144330906 158998681 192441208 197731356 288661812 317997362 395462712 476996043 577323624 635994724 870092413 953992086 1271989448 1740184826 1907984172 2610277239 3480369652 3815968344 5220554478 6518945921 6960739304 10441108956 13037891842 19556837763 20882217912 26075783684 35673788933 39113675526 52151567368 71347577866 78227351052 107021366799 142695155732 156454702104 214042733598 235795043923 285390311464 428085467196 471590087846 707385131769 856170934392 943180175692 1414770263538 1886360351384 2829540527076 5659081054152 9667596800843 19335193601686 29002790402529 38670387203372 58005580805058 77340774406744 116011161610116 232022323220232