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232120352340 = 223255932536719
BaseRepresentation
bin1101100000101101110…
…0110111111001010100
3211012010212101122110200
43120023130313321110
512300340302233330
6254345024420500
722525105304052
oct3301334677124
9735125348420
10232120352340
118a494984338
1238ba0777730
1318b72a79a16
14b33dd931d2
1560882d5a60
hex360b737e54

232120352340 has 144 divisors (see below), whose sum is σ = 716358988800. Its totient is φ = 60821869824.

The previous prime is 232120352339. The next prime is 232120352363. The reversal of 232120352340 is 43253021232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34543501 + ... + 34550219.

It is an arithmetic number, because the mean of its divisors is an integer number (4974715200).

Almost surely, 2232120352340 is an apocalyptic number.

232120352340 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 232120352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358179494400).

232120352340 is an abundant number, since it is smaller than the sum of its proper divisors (484238636460).

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

232120352340 is a wasteful number, since it uses less digits than its factorization.

232120352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 232120352340 its reverse (43253021232), we get a palindrome (275373373572).

The spelling of 232120352340 in words is "two hundred thirty-two billion, one hundred twenty million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3253 3540 5310 6506 6719 9759 10620 13012 13438 16265 19518 20157 26876 29277 32530 33595 39036 40314 48795 58554 60471 65060 67190 80628 97590 100785 117108 120942 134380 146385 191927 195180 201570 241884 292770 302355 383854 396421 403140 575781 585540 604710 767708 792842 959635 1151562 1189263 1209420 1585684 1727343 1919270 1982105 2303124 2378526 2878905 3454686 3567789 3838540 3964210 4757052 5757810 5946315 6909372 7135578 7928420 8636715 11515620 11892630 14271156 17273430 17838945 21856907 23785260 34546860 35677890 43713814 65570721 71355780 87427628 109284535 131141442 196712163 218569070 262282884 327853605 393424326 437138140 655707210 786848652 983560815 1289557513 1311414420 1967121630 2579115026 3868672539 3934243260 5158230052 6447787565 7737345078 11606017617 12895575130 15474690156 19343362695 23212035234 25791150260 38686725390 46424070468 58030088085 77373450780 116060176170 232120352340