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232230203120 = 2457369393931
BaseRepresentation
bin1101100001000111111…
…1111010111011110000
3211012102112002122102002
43120101333322323300
512301101412444440
6254403551113132
722530611104526
oct3302177727360
9735375078362
10232230203120
118a540993903
12390115127a8
1318b8c75c196
14b3507ca316
156092c84115
hex3611ffaef0

232230203120 has 40 divisors (see below), whose sum is σ = 540009864240. Its totient is φ = 92879239680.

The previous prime is 232230203099. The next prime is 232230203123. The reversal of 232230203120 is 21302032232.

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 = 232230203092 and 232230203101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232230203123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392555 + ... + 786485.

It is an arithmetic number, because the mean of its divisors is an integer number (13500246606).

Almost surely, 2232230203120 is an apocalyptic number.

232230203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232230203120 is an abundant number, since it is smaller than the sum of its proper divisors (307779661120).

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

232230203120 is a wasteful number, since it uses less digits than its factorization.

232230203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401313 (or 401307 counting only the distinct ones).

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

Adding to 232230203120 its reverse (21302032232), we get a palindrome (253532235352).

The spelling of 232230203120 in words is "two hundred thirty-two billion, two hundred thirty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7369 14738 29476 36845 58952 73690 117904 147380 294760 393931 589520 787862 1575724 1969655 3151448 3939310 6302896 7878620 15757240 31514480 2902877539 5805755078 11611510156 14514387695 23223020312 29028775390 46446040624 58057550780 116115101560 232230203120