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4224660132 = 2237115877789
BaseRepresentation
bin1111101111001111…
…0011001010100100
3101220102102222012210
43323303303022210
532123003111012
61535113043420
7206456006250
oct37363631244
911812388183
104224660132
11187878a760
1299a9b6570
135243312c4
142c1115260
1519ad5123c
hexfbcf32a4

4224660132 has 96 divisors (see below), whose sum is σ = 12312437760. Its totient is φ = 1095304320.

The previous prime is 4224660101. The next prime is 4224660133. The reversal of 4224660132 is 2310664224.

It is a self number, because there is not a number n which added to its sum of digits gives 4224660132.

It is not an unprimeable number, because it can be changed into a prime (4224660133) 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 31 ways as a sum of consecutive naturals, for example, 538494 + ... + 546282.

It is an arithmetic number, because the mean of its divisors is an integer number (128254560).

Almost surely, 24224660132 is an apocalyptic number.

4224660132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224660132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156218880).

4224660132 is an abundant number, since it is smaller than the sum of its proper divisors (8087777628).

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

4224660132 is a wasteful number, since it uses less digits than its factorization.

4224660132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4224660132 is about 64997.3855781908. The cubic root of 4224660132 is about 1616.5802132014.

It can be divided in two parts, 42246 and 60132, that added together give a triangular number (102378 = T452).

The spelling of 4224660132 in words is "four billion, two hundred twenty-four million, six hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 587 924 1174 1761 2348 3522 4109 6457 7044 7789 8218 12327 12914 15578 16436 19371 23367 24654 25828 31156 38742 45199 46734 49308 54523 77484 85679 90398 93468 109046 135597 163569 171358 180796 218092 257037 271194 327138 342716 514074 542388 599753 654276 1028148 1199506 1799259 2399012 3598518 4572143 7197036 9144286 13716429 18288572 27432858 32005001 50293573 54865716 64010002 96015003 100587146 128020004 150880719 192030006 201174292 301761438 352055011 384060012 603522876 704110022 1056165033 1408220044 2112330066 4224660132