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231402044232 = 233231461224891
BaseRepresentation
bin1101011110000010100…
…0101111101101001000
3211010021210202210222200
43113200220233231020
512242402410403412
6254145444520200
722501233631242
oct3274050575510
9733253683880
10231402044232
118a15646a877
1238a200b0060
1318a89cca338
14b2b2811092
1560451e89dc
hex35e0a2fb48

231402044232 has 96 divisors (see below), whose sum is σ = 648336648960. Its totient is φ = 74483568000.

The previous prime is 231402044149. The next prime is 231402044239. The reversal of 231402044232 is 232440204132.

231402044232 is a `hidden beast` number, since 2 + 31 + 4 + 0 + 204 + 423 + 2 = 666.

231402044232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231402044196 and 231402044205.

It is not an unprimeable number, because it can be changed into a prime (231402044239) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 916507 + ... + 1141397.

It is an arithmetic number, because the mean of its divisors is an integer number (6753506760).

Almost surely, 2231402044232 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 231402044232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324168324480).

231402044232 is an abundant number, since it is smaller than the sum of its proper divisors (416934604728).

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

231402044232 is a wasteful number, since it uses less digits than its factorization.

231402044232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225395 (or 225388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 231402044232 its reverse (232440204132), we get a palindrome (463842248364).

The spelling of 231402044232 in words is "two hundred thirty-one billion, four hundred two million, forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 461 558 744 922 1116 1383 1844 2232 2766 3688 4149 5532 8298 11064 14291 16596 28582 33192 42873 57164 85746 114328 128619 171492 224891 257238 342984 449782 514476 674673 899564 1028952 1349346 1799128 2024019 2698692 4048038 5397384 6971621 8096076 13943242 16192152 20914863 27886484 41829726 55772968 62744589 83659452 103674751 125489178 167318904 207349502 250978356 311024253 414699004 501956712 622048506 829398008 933072759 1244097012 1866145518 2488194024 3213917281 3732291036 6427834562 7464582072 9641751843 12855669124 19283503686 25711338248 28925255529 38567007372 57850511058 77134014744 115701022116 231402044232