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231252424000 = 2653132223581
BaseRepresentation
bin1101011101011110110…
…1111111010101000000
3211002220101020022121121
43113113231333111000
512242101110032000
6254122542002024
722464436112533
oct3272755772500
9732811208547
10231252424000
118a089a67994
1238999b76314
1318a65002260
14b29a9c4a1a
156036ee1b1a
hex35d7b7f540

231252424000 has 112 divisors (see below), whose sum is σ = 616750492176. Its totient is φ = 85385472000.

The previous prime is 231252423979. The next prime is 231252424019. The reversal of 231252424000 is 424252132.

It can be written as a sum of positive squares in 8 ways, for example, as 43340577856 + 187911846144 = 208184^2 + 433488^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1007791 + ... + 1215790.

It is an arithmetic number, because the mean of its divisors is an integer number (5506700823).

Almost surely, 2231252424000 is an apocalyptic number.

231252424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231252424000 is an abundant number, since it is smaller than the sum of its proper divisors (385498068176).

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

231252424000 is a wasteful number, since it uses less digits than its factorization.

231252424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223621 (or 2223601 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 231252424000 its reverse (424252132), we get a palindrome (231676676132).

The spelling of 231252424000 in words is "two hundred thirty-one billion, two hundred fifty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 2223581 4447162 8894324 11117905 17788648 22235810 28906553 35577296 44471620 55589525 57813106 71154592 88943240 111179050 115626212 142309184 144532765 177886480 222358100 231252424 277947625 289065530 355772960 444716200 462504848 555895250 578131060 711545920 722663825 889432400 925009696 1111790500 1156262120 1445327650 1778864800 1850019392 2223581000 2312524240 2890655300 3557729600 3613319125 4447162000 4625048480 5781310600 7226638250 8894324000 9250096960 11562621200 14453276500 17788648000 23125242400 28906553000 46250484800 57813106000 115626212000 231252424000