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232013202320 = 2456147543689
BaseRepresentation
bin1101100000010100010…
…0001000001110010000
3211011212101202212021102
43120011010020032100
512300130334433240
6254330240043532
722522334452244
oct3300504101620
9734771685242
10232013202320
118a43a4499a9
1238b709035a8
1318b56801943
14b32da60424
15607dbbc815
hex3605108390

232013202320 has 40 divisors (see below), whose sum is σ = 548273833080. Its totient is φ = 91283880960.

The previous prime is 232013202283. The next prime is 232013202347. The reversal of 232013202320 is 23202310232.

It can be written as a sum of positive squares in 4 ways, for example, as 706071184 + 231307131136 = 26572^2 + 480944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232013202292 and 232013202301.

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, 23766965 + ... + 23776724.

It is an arithmetic number, because the mean of its divisors is an integer number (13706845827).

Almost surely, 2232013202320 is an apocalyptic number.

232013202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232013202320 is an abundant number, since it is smaller than the sum of its proper divisors (316260630760).

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

232013202320 is a wasteful number, since it uses less digits than its factorization.

232013202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47543763 (or 47543757 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 232013202320 its reverse (23202310232), we get a palindrome (255215512552).

The spelling of 232013202320 in words is "two hundred thirty-two billion, thirteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 47543689 95087378 190174756 237718445 380349512 475436890 760699024 950873780 1901747560 2900165029 3803495120 5800330058 11600660116 14500825145 23201320232 29001650290 46402640464 58003300580 116006601160 232013202320