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232463215152 = 243272314432399
BaseRepresentation
bin1101100001111111100…
…0110010101000110000
3211020000202112212211100
43120133320302220300
512302041040341102
6254443033244400
722536440504100
oct3303770625060
9736022485740
10232463215152
118a650474233
1239077563700
1318bc8b0441c
14b373723200
1560a845ea1c
hex361fe32a30

232463215152 has 360 divisors, whose sum is σ = 783292723200. Its totient is φ = 64103719680.

The previous prime is 232463215133. The next prime is 232463215181. The reversal of 232463215152 is 251512364232.

232463215152 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 632 + 1 + 5 + 15 + 2 = 666.

232463215152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96898849 + ... + 96901247.

It is an arithmetic number, because the mean of its divisors is an integer number (2175813120).

Almost surely, 2232463215152 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 232463215152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391646361600).

232463215152 is an abundant number, since it is smaller than the sum of its proper divisors (550829508048).

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

232463215152 is a wasteful number, since it uses less digits than its factorization.

232463215152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2885 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 232463215152 its reverse (251512364232), we get a palindrome (483975579384).

The spelling of 232463215152 in words is "two hundred thirty-two billion, four hundred sixty-three million, two hundred fifteen thousand, one hundred fifty-two".