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238232232832 = 2711169199029
BaseRepresentation
bin1101110111011110111…
…1110110001110000000
3211202220210222100022211
43131313233312032000
512400344422422312
6301235315311504
723132421365446
oct3356757661600
9752823870284
10238232232832
1192040980640
123a2075ab594
1319608088a59
14b75d9a6b96
1562e4b6d3a7
hex3777bf6380

238232232832 has 32 divisors (see below), whose sum is σ = 517749031800. Its totient is φ = 108287377920.

The previous prime is 238232232713. The next prime is 238232232839.

It is a happy number.

238232232832 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238232232839) 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 3 ways as a sum of consecutive naturals, for example, 84598107 + ... + 84600922.

Almost surely, 2238232232832 is an apocalyptic number.

238232232832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238232232832 is an abundant number, since it is smaller than the sum of its proper divisors (279516798968).

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

238232232832 is a wasteful number, since it uses less digits than its factorization.

238232232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169199054 (or 169199042 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 238232232832 in words is "two hundred thirty-eight billion, two hundred thirty-two million, two hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 169199029 338398058 676796116 1353592232 1861189319 2707184464 3722378638 5414368928 7444757276 10828737856 14889514552 21657475712 29779029104 59558058208 119116116416 238232232832