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1220468424 = 2337103251281
BaseRepresentation
bin100100010111110…
…1101111011001000
310011001112012221020
41020233231323020
54444414442144
6321034512440
742146544660
oct11057557310
93131465836
101220468424
11576a16a9a
122a0895720
13165b0cb86
14b813b1a0
1572230419
hex48bedec8

1220468424 has 128 divisors (see below), whose sum is σ = 3547514880. Its totient is φ = 342720000.

The previous prime is 1220468423. The next prime is 1220468461. The reversal of 1220468424 is 4248640221.

It is not an unprimeable number, because it can be changed into a prime (1220468423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4343164 + ... + 4343444.

It is an arithmetic number, because the mean of its divisors is an integer number (27714960).

Almost surely, 21220468424 is an apocalyptic number.

1220468424 is a gapful number since it is divisible by the number (14) 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 1220468424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773757440).

1220468424 is an abundant number, since it is smaller than the sum of its proper divisors (2327046456).

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

1220468424 is a wasteful number, since it uses less digits than its factorization.

1220468424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1220468424 is about 34935.2032196751. The cubic root of 1220468424 is about 1068.6664681064. Note that the first 3 decimals are identical.

The spelling of 1220468424 in words is "one billion, two hundred twenty million, four hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 251 281 309 412 502 562 618 721 753 824 843 1004 1124 1236 1442 1506 1686 1757 1967 2008 2163 2248 2472 2884 3012 3372 3514 3934 4326 5271 5768 5901 6024 6744 7028 7868 8652 10542 11802 14056 15736 17304 21084 23604 25853 28943 42168 47208 51706 57886 70531 77559 86829 103412 115772 141062 155118 173658 180971 202601 206824 211593 231544 282124 310236 347316 361942 405202 423186 493717 542913 564248 607803 620472 694632 723884 810404 846372 987434 1085826 1215606 1447768 1481151 1620808 1692744 1974868 2171652 2431212 2962302 3949736 4343304 4862424 5924604 7264693 11849208 14529386 21794079 29058772 43588158 50852851 58117544 87176316 101705702 152558553 174352632 203411404 305117106 406822808 610234212 1220468424