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30232211232 = 253714435477
BaseRepresentation
bin11100001001111110…
…101110111100100000
32220000221020110022010
4130021332232330200
5443403421224412
621515525112520
72120116361346
oct341176567440
986027213263
1030232211232
1111904327843
125a38858740
132b0a5199b2
14166b213996
15bbe1e733c
hex709faef20

30232211232 has 48 divisors (see below), whose sum is σ = 80477312832. Its totient is φ = 9935466240.

The previous prime is 30232211153. The next prime is 30232211249. The reversal of 30232211232 is 23211223203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 30232211199 and 30232211208.

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 7 ways as a sum of consecutive naturals, for example, 2210923 + ... + 2224554.

It is an arithmetic number, because the mean of its divisors is an integer number (1676610684).

Almost surely, 230232211232 is an apocalyptic number.

30232211232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30232211232 is an abundant number, since it is smaller than the sum of its proper divisors (50245101600).

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

30232211232 is a wasteful number, since it uses less digits than its factorization.

30232211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435561 (or 4435553 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30232211232 its reverse (23211223203), we get a palindrome (53443434435).

The spelling of 30232211232 in words is "thirty billion, two hundred thirty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 4435477 8870954 13306431 17741908 26612862 35483816 53225724 70967632 106451448 141935264 212902896 314918867 425805792 629837734 944756601 1259675468 1889513202 2519350936 3779026404 5038701872 7558052808 10077403744 15116105616 30232211232