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1242224424 = 233471731583
BaseRepresentation
bin100101000001010…
…1101011100101000
310012120110112120000
41022002231130220
510021002140144
6323133103000
742532506360
oct11202553450
93176415500
101242224424
11588226661
122a8027a60
1316a48964c
14bada19a0
15740cb769
hex4a0ad728

1242224424 has 160 divisors (see below), whose sum is σ = 4001944320. Its totient is φ = 352646784.

The previous prime is 1242224407. The next prime is 1242224443. The reversal of 1242224424 is 4244222421.

1242224424 is a `hidden beast` number, since 12 + 4 + 2 + 224 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 783937 + ... + 785519.

It is an arithmetic number, because the mean of its divisors is an integer number (25012152).

Almost surely, 21242224424 is an apocalyptic number.

1242224424 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 1242224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000972160).

1242224424 is an abundant number, since it is smaller than the sum of its proper divisors (2759719896).

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

1242224424 is a wasteful number, since it uses less digits than its factorization.

1242224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1768 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 1242224424 is about 35245.2042695173. The cubic root of 1242224424 is about 1074.9791015227.

Adding to 1242224424 its reverse (4244222421), we get a palindrome (5486446845).

The spelling of 1242224424 in words is "one billion, two hundred forty-two million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 173 189 216 252 324 346 378 504 519 567 648 692 756 1038 1134 1211 1384 1512 1557 1583 2076 2268 2422 3114 3166 3633 4152 4536 4671 4749 4844 6228 6332 7266 9342 9498 9688 10899 11081 12456 12664 14013 14247 14532 18684 18996 21798 22162 28026 28494 29064 32697 33243 37368 37992 42741 43596 44324 56052 56988 65394 66486 85482 87192 88648 98091 99729 112104 113976 128223 130788 132972 170964 196182 199458 256446 261576 265944 273859 299187 341928 392364 398916 512892 547718 598374 784728 797832 821577 897561 1025784 1095436 1196748 1643154 1795122 1917013 2190872 2393496 2464731 3286308 3590244 3834026 4929462 5751039 6572616 7180488 7394193 7668052 9858924 11502078 14788386 15336104 17253117 19717848 22182579 23004156 29576772 34506234 44365158 46008312 51759351 59153544 69012468 88730316 103518702 138024936 155278053 177460632 207037404 310556106 414074808 621112212 1242224424